3520 has 28 divisors (see below), whose sum is σ = 9144. Its totient is φ = 1280.

The previous prime is 3517. The next prime is 3527. The reversal of 3520 is 253.

3520 = T_{35} + T_{36} + ... +
T_{39}.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 3497 and 3506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 315 + ... + 325.

2^{3520} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572).

3520 is an abundant number, since it is smaller than the sum of its proper divisors (5624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3520 is a wasteful number, since it uses less digits than its factorization.

3520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 3520 is about 59.3295878968. The cubic root of 3520 is about 15.2118098430.

Adding to 3520 its reverse (253), we get a palindrome (3773).

It can be divided in two parts, 35 and 20, that added together give a palindrome (55).

The spelling of 3520 in words is "three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520

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