389235974400 has 2160 divisors, whose sum is σ = 1827332598784. Its totient is φ = 79546613760.

The previous prime is 389235974389. The next prime is 389235974401. The reversal of 389235974400 is 4479532983.

389235974400 is a `hidden beast` number, since 3 + 8 + 9 + 2 + 3 + 597 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389235974401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1745452689 + ... + 1745452911.

Almost surely, 2^389235974400 is an apocalyptic number.

389235974400 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 389235974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913666299392).

389235974400 is an abundant number, since it is smaller than the sum of its proper divisors (1438096624384).

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

389235974400 is a wasteful number, since it uses less digits than its factorization.

389235974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 389235974400 in words is "three hundred eighty-nine billion, two hundred thirty-five million, nine hundred seventy-four thousand, four hundred".