331769040 has 80 divisors (see below), whose sum is σ = 1032481536. Its totient is φ = 88128000.

The previous prime is 331769033. The next prime is 331769063. The reversal of 331769040 is 40967133.

331769040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×331769040² = 220141391805043200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 331768992 and 331769010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62490 + ... + 67590.

Almost surely, 2^331769040 is an apocalyptic number.

331769040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331769040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516240768).

331769040 is an abundant number, since it is smaller than the sum of its proper divisors (700712496).

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

331769040 is a wasteful number, since it uses less digits than its factorization.

331769040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5388 (or 5382 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 331769040 is about 18214.5282672926. The cubic root of 331769040 is about 692.2749528297.

The spelling of 331769040 in words is "three hundred thirty-one million, seven hundred sixty-nine thousand, forty".