389638080 has 224 divisors, whose sum is σ = 1480718400. Its totient is φ = 95883264.

The previous prime is 389638063. The next prime is 389638097. The reversal of 389638080 is 80836983.

389638080 is a `hidden beast` number, since 3 + 8 + 9 + 638 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (389638063) and next prime (389638097).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110586 + ... + 114054.

It is an arithmetic number, because the mean of its divisors is an integer number (6610350).

Almost surely, 2^389638080 is an apocalyptic number.

389638080 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 389638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740359200).

389638080 is an abundant number, since it is smaller than the sum of its proper divisors (1091080320).

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

389638080 is a wasteful number, since it uses less digits than its factorization.

389638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 389638080 is about 19739.2522654735. The cubic root of 389638080 is about 730.3882840853.

The spelling of 389638080 in words is "three hundred eighty-nine million, six hundred thirty-eight thousand, eighty".