390695003136 has 297 divisors, whose sum is σ = 1201524198121. Its totient is φ = 122250952704.

The previous prime is 390695003117. The next prime is 390695003159. The reversal of 390695003136 is 631300596093.

The square root of 390695003136 is 625056.

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

390695003136 is a `hidden beast` number, since 3 + 9 + 0 + 6 + 9 + 500 + 3 + 136 = 666.

It can be written as a sum of positive squares in only one way, i.e., 304174310400 + 86520692736 = 551520^2 + 294144^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 390695003091 and 390695003100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1020091201 + ... + 1020091583.

Almost surely, 2^390695003136 is an apocalyptic number.

390695003136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

390695003136 is the 625056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390695003136

390695003136 is an abundant number, since it is smaller than the sum of its proper divisors (810829194985).

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

390695003136 is an equidigital number, since it uses as much as digits as its factorization.

390695003136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 45.

The spelling of 390695003136 in words is "three hundred ninety billion, six hundred ninety-five million, three thousand, one hundred thirty-six".