38876008900 has 27 divisors (see below), whose sum is σ = 84365218119. Its totient is φ = 15549614880.

The previous prime is 38876008883. The next prime is 38876008943. The reversal of 38876008900 is 980067883.

It is a happy number.

The square root of 38876008900 is 197170.

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 15174790596 + 23701218304 = 123186^2 + 153952^2 .

It is a super-2 number, since 2×38876008900² (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, 1961842 + ... + 1981558.

Almost surely, 2^38876008900 is an apocalyptic number.

38876008900 is the 197170-th square number.

It is an amenable number.

38876008900 is an abundant number, since it is smaller than the sum of its proper divisors (45489209219).

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

38876008900 is an frugal number, since it uses more digits than its factorization.

38876008900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39448 (or 19724 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

Multiplying 38876008900 by its sum of digits (49), we get a square (1904924436100 = 1380190²).

The spelling of 38876008900 in words is "thirty-eight billion, eight hundred seventy-six million, eight thousand, nine hundred".