389342822400 has 1368 divisors, whose sum is σ = 1703823698304. Its totient is φ = 83047219200.

The previous prime is 389342822387. The next prime is 389342822411. The reversal of 389342822400 is 4228243983.

389342822400 is a `hidden beast` number, since 3 + 89 + 342 + 8 + 224 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 9496166380 + ... + 9496166420.

Almost surely, 2^389342822400 is an apocalyptic number.

389342822400 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 389342822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851911849152).

389342822400 is an abundant number, since it is smaller than the sum of its proper divisors (1314480875904).

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

389342822400 is an equidigital number, since it uses as much as digits as its factorization.

389342822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 389342822400 in words is "three hundred eighty-nine billion, three hundred forty-two million, eight hundred twenty-two thousand, four hundred".