390327556644 has 135 divisors (see below), whose sum is σ = 1039221714531. Its totient is φ = 127751333760.

The previous prime is 390327556631. The next prime is 390327556673. The reversal of 390327556644 is 446655723093.

The square root of 390327556644 is 624762.

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

390327556644 is a `hidden beast` number, since 3 + 9 + 0 + 3 + 2 + 75 + 566 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 266113603044 + 124213953600 = 515862^2 + 352440^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 685988392 + ... + 685988960.

Almost surely, 2^390327556644 is an apocalyptic number.

390327556644 is the 624762-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390327556644

390327556644 is an abundant number, since it is smaller than the sum of its proper divisors (648894157887).

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

390327556644 is an frugal number, since it uses more digits than its factorization.

390327556644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 390327556644 in words is "three hundred ninety billion, three hundred twenty-seven million, five hundred fifty-six thousand, six hundred forty-four".