38627971600 has 135 divisors (see below), whose sum is σ = 96197398311. Its totient is φ = 14905593600.

The previous prime is 38627971561. The next prime is 38627971607. The reversal of 38627971600 is 617972683.

It is a happy number.

The square root of 38627971600 is 196540.

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 15592017424 + 23035954176 = 124868^2 + 151776^2 .

It is not an unprimeable number, because it can be changed into a prime (38627971607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 121854642 + ... + 121854958.

Almost surely, 2^38627971600 is an apocalyptic number.

38627971600 is the 196540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38627971600

38627971600 is an abundant number, since it is smaller than the sum of its proper divisors (57569426711).

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

38627971600 is an equidigital number, since it uses as much as digits as its factorization.

38627971600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

Multiplying 38627971600 by its sum of digits (49), we get a square (1892770608400 = 1375780²).

The spelling of 38627971600 in words is "thirty-eight billion, six hundred twenty-seven million, nine hundred seventy-one thousand, six hundred".