390055207936 has 99 divisors (see below), whose sum is σ = 808745572011. Its totient is φ = 188022718464.

The previous prime is 390055207897. The next prime is 390055207961. The reversal of 390055207936 is 639702550093.

It is a happy number.

The square root of 390055207936 is 624544.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8941593600 + 381113614336 = 94560^2 + 617344^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 390055207936.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 579576496 + ... + 579577168.

Almost surely, 2^390055207936 is an apocalyptic number.

390055207936 is the 624544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390055207936

390055207936 is an abundant number, since it is smaller than the sum of its proper divisors (418690364075).

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

390055207936 is an frugal number, since it uses more digits than its factorization.

390055207936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 49.

Multiplying 390055207936 by its sum of digits (49), we get a square (19112705188864 = 4371808²).

The spelling of 390055207936 in words is "three hundred ninety billion, fifty-five million, two hundred seven thousand, nine hundred thirty-six".