37841920900 has 135 divisors (see below), whose sum is σ = 96039340719. Its totient is φ = 12941691840.

The previous prime is 37841920859. The next prime is 37841920901. The reversal of 37841920900 is 902914873.

The square root of 37841920900 is 194530.

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

37841920900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 38118276 + 37803802624 = 6174^2 + 194432^2 .

It is not an unprimeable number, because it can be changed into a prime (37841920901) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 95319502 + ... + 95319898.

Almost surely, 2^37841920900 is an apocalyptic number.

37841920900 is the 194530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37841920900

37841920900 is an abundant number, since it is smaller than the sum of its proper divisors (58197419819).

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

37841920900 is an frugal number, since it uses more digits than its factorization.

37841920900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 37841920900 in words is "thirty-seven billion, eight hundred forty-one million, nine hundred twenty thousand, nine hundred".