37945606900 has 36 divisors (see below), whose sum is σ = 82356078700. Its totient is φ = 15175641600.

The previous prime is 37945606883. The next prime is 37945606913. The reversal of 37945606900 is 960654973.

It can be written as a sum of positive squares in 6 ways, for example, as 258373476 + 37687233424 = 16074^2 + 194132^2 .

It is a super-2 number, since 2×37945606900² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 618826 + ... + 677374.

Almost surely, 2^37945606900 is an apocalyptic number.

It is an amenable number.

37945606900 is an abundant number, since it is smaller than the sum of its proper divisors (44410471800).

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

37945606900 is a wasteful number, since it uses less digits than its factorization.

37945606900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65044 (or 65037 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 49.

The spelling of 37945606900 in words is "thirty-seven billion, nine hundred forty-five million, six hundred six thousand, nine hundred".