37634836009 has 9 divisors (see below), whose sum is σ = 37806526173. Its totient is φ = 37463924652.

The previous prime is 37634836003. The next prime is 37634836049. The reversal of 37634836009 is 90063843673.

The square root of 37634836009 is 193997.

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

It is a de Polignac number, because none of the positive numbers 2^k-37634836009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37634836003) 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, 81284512 + ... + 81284974.

Almost surely, 2^37634836009 is an apocalyptic number.

37634836009 is the 193997-th square number.

37634836009 is the 96999-th centered octagonal number.

It is an amenable number.

37634836009 is a deficient number, since it is larger than the sum of its proper divisors (171690164).

37634836009 is an frugal number, since it uses more digits than its factorization.

37634836009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 49.

Multiplying 37634836009 by its sum of digits (49), we get a square (1844106964441 = 1357979²).

The spelling of 37634836009 in words is "thirty-seven billion, six hundred thirty-four million, eight hundred thirty-six thousand, nine".