331674624 has 264 divisors, whose sum is σ = 1063375560. Its totient is φ = 99090432.

The previous prime is 331674619. The next prime is 331674631. The reversal of 331674624 is 426476133.

It is a happy number.

331674624 is a `hidden beast` number, since 33 + 167 + 462 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101606400 + 230068224 = 10080^2 + 15168^2 .

It is a super-2 number, since 2×331674624² = 220016112411082752, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4543452 + ... + 4543524.

Almost surely, 2^331674624 is an apocalyptic number.

331674624 is a gapful number since it is divisible by the number (34) 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 331674624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531687780).

331674624 is an abundant number, since it is smaller than the sum of its proper divisors (731700936).

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

331674624 is a wasteful number, since it uses less digits than its factorization.

331674624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 331674624 is about 18211.9363056211. The cubic root of 331674624 is about 692.2092765858.

The spelling of 331674624 in words is "three hundred thirty-one million, six hundred seventy-four thousand, six hundred twenty-four".