38727091264 has 63 divisors (see below), whose sum is σ = 81691975173. Its totient is φ = 18211918848.

The previous prime is 38727091201. The next prime is 38727091327. The reversal of 38727091264 is 46219072783.

It is a happy number.

The square root of 38727091264 is 196792.

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

It is an interprime number because it is at equal distance from previous prime (38727091201) and next prime (38727091327).

It can be written as a sum of positive squares in only one way, i.e., 30150849600 + 8576241664 = 173640^2 + 92608^2 .

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, 26762989 + ... + 26764435.

Almost surely, 2^38727091264 is an apocalyptic number.

38727091264 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

38727091264 is the 196792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38727091264

38727091264 is an abundant number, since it is smaller than the sum of its proper divisors (42964883909).

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

38727091264 is an frugal number, since it uses more digits than its factorization.

38727091264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

Multiplying 38727091264 by its sum of digits (49), we get a square (1897627471936 = 1377544²).

The spelling of 38727091264 in words is "thirty-eight billion, seven hundred twenty-seven million, ninety-one thousand, two hundred sixty-four".