330672384 has 324 divisors, whose sum is σ = 1158672060. Its totient is φ = 90316800.

The previous prime is 330672383. The next prime is 330672431. The reversal of 330672384 is 483276033.

It can be written as a sum of positive squares in 2 ways, for example, as 260112384 + 70560000 = 16128^2 + 8400^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330672383) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3273934 + ... + 3274034.

Almost surely, 2^330672384 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 330672384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579336030).

330672384 is an abundant number, since it is smaller than the sum of its proper divisors (827999676).

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

330672384 is a wasteful number, since it uses less digits than its factorization.

330672384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 142 counting only the distinct ones).

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

The square root of 330672384 is about 18184.3994676756. The cubic root of 330672384 is about 691.5113437909.

The spelling of 330672384 in words is "three hundred thirty million, six hundred seventy-two thousand, three hundred eighty-four".