39084478090564 has 27 divisors (see below), whose sum is σ = 69578084194941. Its totient is φ = 19210652052720.

The previous prime is 39084478090547. The next prime is 39084478090583. The reversal of 39084478090564 is 46509087448093.

The square root of 39084478090564 is 6251758.

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

It can be written as a sum of positive squares in only one way, i.e., 38845826300164 + 238651790400 = 6232642^2 + 488520^2 .

It is a super-2 number, since 2×39084478090564² (a number of 28 digits) contains 22 as substring.

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 39084478090564.

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 8 ways as a sum of consecutive naturals, for example, 737680954 + ... + 737733934.

Almost surely, 2^{39084478090564} is an apocalyptic number.

39084478090564 is the 6251758-th square number.

It is an amenable number.

39084478090564 is a deficient number, since it is larger than the sum of its proper divisors (30493606104377).

39084478090564 is an frugal number, since it uses more digits than its factorization.

39084478090564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106084 (or 53042 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 67.

The spelling of 39084478090564 in words is "thirty-nine trillion, eighty-four billion, four hundred seventy-eight million, ninety thousand, five hundred sixty-four".