389720056320 has 960 divisors, whose sum is σ = 1651830276096. Its totient is φ = 86175498240.

The previous prime is 389720056291. The next prime is 389720056321. The reversal of 389720056320 is 23650027983.

389720056320 is a `hidden beast` number, since 3 + 8 + 9 + 7 + 2 + 0 + 0 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (389720056321) 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 95 ways as a sum of consecutive naturals, for example, 134989917 + ... + 134992803.

Almost surely, 2^389720056320 is an apocalyptic number.

389720056320 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 389720056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825915138048).

389720056320 is an abundant number, since it is smaller than the sum of its proper divisors (1262110219776).

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

389720056320 is an equidigital number, since it uses as much as digits as its factorization.

389720056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 389720056320 in words is "three hundred eighty-nine billion, seven hundred twenty million, fifty-six thousand, three hundred twenty".