389396561400 has 1728 divisors, whose sum is σ = 1743355560960. Its totient is φ = 77571648000.

The previous prime is 389396561329. The next prime is 389396561501. The reversal of 389396561400 is 4165693983.

389396561400 is a `hidden beast` number, since 3 + 8 + 9 + 39 + 6 + 561 + 40 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3639220147 + ... + 3639220253.

It is an arithmetic number, because the mean of its divisors is an integer number (1008886320).

Almost surely, 2^389396561400 is an apocalyptic number.

389396561400 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 389396561400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871677780480).

389396561400 is an abundant number, since it is smaller than the sum of its proper divisors (1353958999560).

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

389396561400 is a wasteful number, since it uses less digits than its factorization.

389396561400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 389396561400 in words is "three hundred eighty-nine billion, three hundred ninety-six million, five hundred sixty-one thousand, four hundred".