331376640 has 384 divisors, whose sum is σ = 1283143680. Its totient is φ = 71368704.

The previous prime is 331376623. The next prime is 331376653. The reversal of 331376640 is 46673133.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4945887 + ... + 4945953.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 2^331376640 is an apocalyptic number.

331376640 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 331376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641571840).

331376640 is an abundant number, since it is smaller than the sum of its proper divisors (951767040).

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

331376640 is a wasteful number, since it uses less digits than its factorization.

331376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 331376640 is about 18203.7534591084. The cubic root of 331376640 is about 692.0019156395.

The spelling of 331376640 in words is "three hundred thirty-one million, three hundred seventy-six thousand, six hundred forty".