389664000 has 576 divisors, whose sum is σ = 1607074560. Its totient is φ = 92160000.

The previous prime is 389663971. The next prime is 389664019. The reversal of 389664000 is 466983.

389664000 is a `hidden beast` number, since 3 + 8 + 9 + 6 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9503980 + ... + 9504020.

It is an arithmetic number, because the mean of its divisors is an integer number (2790060).

Almost surely, 2^389664000 is an apocalyptic number.

389664000 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 389664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803537280).

389664000 is an abundant number, since it is smaller than the sum of its proper divisors (1217410560).

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

389664000 is a wasteful number, since it uses less digits than its factorization.

389664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 389664000 is about 19739.9088143791. The cubic root of 389664000 is about 730.4044796657.

It can be divided in two parts, 3896 and 64000, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 389664000 in words is "three hundred eighty-nine million, six hundred sixty-four thousand".