389825409600 has 945 divisors, whose sum is σ = 1560343119465. Its totient is φ = 92305382400.

The previous prime is 389825409563. The next prime is 389825409601. The reversal of 389825409600 is 6904528983.

The square root of 389825409600 is 624360.

It is a perfect power (a square), and thus also a powerful number.

389825409600 is a `hidden beast` number, since 3 + 8 + 9 + 8 + 2 + 540 + 96 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 140337147456 + 249488262144 = 374616^2 + 499488^2 .

It is not an unprimeable number, because it can be changed into a prime (389825409601) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9065707179 + ... + 9065707221.

Almost surely, 2^389825409600 is an apocalyptic number.

389825409600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

389825409600 is the 624360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389825409600

389825409600 is an abundant number, since it is smaller than the sum of its proper divisors (1170517709865).

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

389825409600 is an equidigital number, since it uses as much as digits as its factorization.

389825409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 389825409600 in words is "three hundred eighty-nine billion, eight hundred twenty-five million, four hundred nine thousand, six hundred".