389376000 has 432 divisors, whose sum is σ = 1519752780. Its totient is φ = 95846400.

The previous prime is 389375989. The next prime is 389376023. The reversal of 389376000 is 673983.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 17040384 + 372335616 = 4128^2 + 19296^2 .

It is a super-2 number, since 2×389376000² = 303227338752000000, which contains 22 as substring.

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

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 35 ways as a sum of consecutive naturals, for example, 29951994 + ... + 29952006.

Almost surely, 2^389376000 is an apocalyptic number.

389376000 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 389376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759876390).

389376000 is an abundant number, since it is smaller than the sum of its proper divisors (1130376780).

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

389376000 is a wasteful number, since it uses less digits than its factorization.

389376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 389376000 is about 19732.6125994507. The cubic root of 389376000 is about 730.2244884115.

The spelling of 389376000 in words is "three hundred eighty-nine million, three hundred seventy-six thousand".