38670435904 has 63 divisors (see below), whose sum is σ = 78554277867. Its totient is φ = 18887647104.

The previous prime is 38670435871. The next prime is 38670435971. The reversal of 38670435904 is 40953407683.

The square root of 38670435904 is 196648.

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

It is a super-2 number, since 2×38670435904² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 73939387 + ... + 73939909.

Almost surely, 2^38670435904 is an apocalyptic number.

38670435904 is the 196648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38670435904

38670435904 is an abundant number, since it is smaller than the sum of its proper divisors (39883841963).

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

38670435904 is an frugal number, since it uses more digits than its factorization.

38670435904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 38670435904 by its sum of digits (49), we get a square (1894851359296 = 1376536²).

The spelling of 38670435904 in words is "thirty-eight billion, six hundred seventy million, four hundred thirty-five thousand, nine hundred four".