37974568900 has 72 divisors (see below), whose sum is σ = 86229246600. Its totient is φ = 14500362240.

The previous prime is 37974568799. The next prime is 37974568903. The reversal of 37974568900 is 986547973.

It can be written as a sum of positive squares in 12 ways, for example, as 1273205124 + 36701363776 = 35682^2 + 191576^2 .

It is not an unprimeable number, because it can be changed into a prime (37974568903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99276 + ... + 292924.

It is an arithmetic number, because the mean of its divisors is an integer number (1197628425).

Almost surely, 2^37974568900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37974568900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43114623300).

37974568900 is an abundant number, since it is smaller than the sum of its proper divisors (48254677700).

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

37974568900 is a wasteful number, since it uses less digits than its factorization.

37974568900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193753 (or 193746 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 58.

The spelling of 37974568900 in words is "thirty-seven billion, nine hundred seventy-four million, five hundred sixty-eight thousand, nine hundred".