389916072 has 256 divisors, whose sum is σ = 1354752000. Its totient is φ = 101170944.

The previous prime is 389916061. The next prime is 389916083. The reversal of 389916072 is 270619983.

389916072 is a `hidden beast` number, since 38 + 9 + 9 + 1 + 607 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (389916061) and next prime (389916083).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1631329 + ... + 1631567.

It is an arithmetic number, because the mean of its divisors is an integer number (5292000).

Almost surely, 2^389916072 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 389916072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677376000).

389916072 is an abundant number, since it is smaller than the sum of its proper divisors (964835928).

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

389916072 is a wasteful number, since it uses less digits than its factorization.

389916072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 389916072 is about 19746.2926140580. The cubic root of 389916072 is about 730.5619442431.

The spelling of 389916072 in words is "three hundred eighty-nine million, nine hundred sixteen thousand, seventy-two".