37295720641 has 9 divisors (see below), whose sum is σ = 37475995881. Its totient is φ = 37116311232.

The previous prime is 37295720617. The next prime is 37295720701. The reversal of 37295720641 is 14602759273.

The square root of 37295720641 is 193121.

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 34995559041 + 2300161600 = 187071^2 + 47960^2 .

It is not a de Polignac number, because 37295720641 - 2²⁷ = 37161502913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 37295720591 and 37295720600.

It is not an unprimeable number, because it can be changed into a prime (37295720611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 60446565 + ... + 60447181.

Almost surely, 2^37295720641 is an apocalyptic number.

37295720641 is the 193121-st square number.

37295720641 is the 96561-st centered octagonal number.

It is an amenable number.

37295720641 is a deficient number, since it is larger than the sum of its proper divisors (180275240).

37295720641 is an frugal number, since it uses more digits than its factorization.

37295720641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 37295720641 in words is "thirty-seven billion, two hundred ninety-five million, seven hundred twenty thousand, six hundred forty-one".