37638716049 has 27 divisors (see below), whose sum is σ = 59768972809. Its totient is φ = 22807462920.

The previous prime is 37638716047. The next prime is 37638716051. The reversal of 37638716049 is 94061783673.

The square root of 37638716049 is 194007.

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 (37638716047) and next prime (37638716051).

It is not a de Polignac number, because 37638716049 - 2¹ = 37638716047 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 37638715986 and 37638716004.

It is not an unprimeable number, because it can be changed into a prime (37638716047) 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, 6399292 + ... + 6405170.

Almost surely, 2^37638716049 is an apocalyptic number.

37638716049 is the 194007-th square number.

37638716049 is the 97004-th centered octagonal number.

It is an amenable number.

37638716049 is a deficient number, since it is larger than the sum of its proper divisors (22130256760).

37638716049 is an frugal number, since it uses more digits than its factorization.

37638716049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11786 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 37638716049 in words is "thirty-seven billion, six hundred thirty-eight million, seven hundred sixteen thousand, forty-nine".