38128810756 has 27 divisors (see below), whose sum is σ = 67545139039. Its totient is φ = 18833015168.

The previous prime is 38128810751. The next prime is 38128810777. The reversal of 38128810756 is 65701882183.

The square root of 38128810756 is 195266.

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 10578122500 + 27550688256 = 102850^2 + 165984^2 .

It is a super-2 number, since 2×38128810756² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38128810751) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34756800 + ... + 34757896.

Almost surely, 2^38128810756 is an apocalyptic number.

38128810756 is the 195266-th square number.

It is an amenable number.

38128810756 is a deficient number, since it is larger than the sum of its proper divisors (29416328283).

38128810756 is an frugal number, since it uses more digits than its factorization.

38128810756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 49.

Multiplying 38128810756 by its sum of digits (49), we get a square (1868311727044 = 1366862²).

The spelling of 38128810756 in words is "thirty-eight billion, one hundred twenty-eight million, eight hundred ten thousand, seven hundred fifty-six".