389000102400 has 3600 divisors, whose sum is σ = 1959772066560. Its totient is φ = 75246796800.

The previous prime is 389000102377. The next prime is 389000102401. The reversal of 389000102400 is 4201000983.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (389000102401) by changing a digit.

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 359 ways as a sum of consecutive naturals, for example, 12548390385 + ... + 12548390415.

Almost surely, 2^389000102400 is an apocalyptic number.

389000102400 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 389000102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979886033280).

389000102400 is an abundant number, since it is smaller than the sum of its proper divisors (1570771964160).

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

389000102400 is a wasteful number, since it uses less digits than its factorization.

389000102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 389000102400 in words is "three hundred eighty-nine billion, one hundred two thousand, four hundred".