3531920 has 120 divisors (see below), whose sum is σ = 10305144. Its totient is φ = 1118208.

The previous prime is 3531911. The next prime is 3531989. The reversal of 3531920 is 291353.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1073296 + 2458624 = 1036^2 + 1568^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66614 + ... + 66666.

Almost surely, 2^3531920 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 3531920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152572).

3531920 is an abundant number, since it is smaller than the sum of its proper divisors (6773224).

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

3531920 is a wasteful number, since it uses less digits than its factorization.

3531920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 3531920 is about 1879.3403097896. The cubic root of 3531920 is about 152.2896140368.

The spelling of 3531920 in words is "three million, five hundred thirty-one thousand, nine hundred twenty".