38947811904 has 105 divisors (see below), whose sum is σ = 115495652041. Its totient is φ = 12977867520.

The previous prime is 38947811893. The next prime is 38947811989. The reversal of 38947811904 is 40911874983.

The square root of 38947811904 is 197352.

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

38947811904 is a `hidden beast` number, since 3 + 89 + 478 + 1 + 1 + 90 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11524451904 + 27423360000 = 107352^2 + 165600^2 .

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

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 14207974 + ... + 14210714.

Almost surely, 2^38947811904 is an apocalyptic number.

38947811904 is the 197352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38947811904

38947811904 is an abundant number, since it is smaller than the sum of its proper divisors (76547840137).

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

38947811904 is an frugal number, since it uses more digits than its factorization.

38947811904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 38947811904 in words is "thirty-eight billion, nine hundred forty-seven million, eight hundred eleven thousand, nine hundred four".