331664784 has 160 divisors (see below), whose sum is σ = 1007935488. Its totient is φ = 92928000.

The previous prime is 331664777. The next prime is 331664803. The reversal of 331664784 is 487466133.

It is a happy number.

It is a super-2 number, since 2×331664784² = 220003057891533312, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 376024 + ... + 376904.

Almost surely, 2^331664784 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 331664784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503967744).

331664784 is an abundant number, since it is smaller than the sum of its proper divisors (676270704).

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

331664784 is a wasteful number, since it uses less digits than its factorization.

331664784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 951 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 331664784 is about 18211.6661511241. Note that the first 3 decimals coincide. The cubic root of 331664784 is about 692.2024311152.

It can be divided in two parts, 33166 and 4784, that added together give a triangular number (37950 = T₂₇₅).

The spelling of 331664784 in words is "three hundred thirty-one million, six hundred sixty-four thousand, seven hundred eighty-four".