331931952 has 160 divisors (see below), whose sum is σ = 1084930560. Its totient is φ = 96180480.

The previous prime is 331931939. The next prime is 331931959. The reversal of 331931952 is 259139133.

331931952 is a `hidden beast` number, since 331 + 9 + 319 + 5 + 2 = 666.

It is a super-2 number, since 2×331931952² = 220357641517060608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (331931959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107778 + ... + 110814.

It is an arithmetic number, because the mean of its divisors is an integer number (6780816).

Almost surely, 2^331931952 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 331931952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542465280).

331931952 is an abundant number, since it is smaller than the sum of its proper divisors (752998608).

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

331931952 is a wasteful number, since it uses less digits than its factorization.

331931952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088 (or 3076 counting only the distinct ones).

The product of its digits is 21870, while the sum is 36.

The square root of 331931952 is about 18218.9997530051. Note that the first 3 decimals coincide. The cubic root of 331931952 is about 692.3882459430.

The spelling of 331931952 in words is "three hundred thirty-one million, nine hundred thirty-one thousand, nine hundred fifty-two".