390320059536 has 135 divisors (see below), whose sum is σ = 1200940426777. Its totient is φ = 118253815680.

The previous prime is 390320059531. The next prime is 390320059537. The reversal of 390320059536 is 635950023093.

The square root of 390320059536 is 624756.

It is a perfect power (a square), and thus also a powerful number.

390320059536 is a `hidden beast` number, since 3 + 9 + 0 + 3 + 20 + 0 + 595 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69347955600 + 320972103936 = 263340^2 + 566544^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 390320059491 and 390320059500.

It is not an unprimeable number, because it can be changed into a prime (390320059531) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 82465426 + ... + 82470158.

Almost surely, 2^390320059536 is an apocalyptic number.

390320059536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

390320059536 is the 624756-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390320059536

390320059536 is an abundant number, since it is smaller than the sum of its proper divisors (810620367241).

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

390320059536 is an equidigital number, since it uses as much as digits as its factorization.

390320059536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9502 (or 4749 counting only the distinct ones).

The product of its (nonzero) digits is 656100, while the sum is 45.

The spelling of 390320059536 in words is "three hundred ninety billion, three hundred twenty million, fifty-nine thousand, five hundred thirty-six".