37469344900 has 81 divisors (see below), whose sum is σ = 88103261421. Its totient is φ = 13825543680.

The previous prime is 37469344879. The next prime is 37469344931. The reversal of 37469344900 is 944396473.

It is a happy number.

The square root of 37469344900 is 193570.

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

It can be written as a sum of positive squares in 13 ways, for example, as 37370302596 + 99042304 = 193314^2 + 9952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25163356 + ... + 25164844.

Almost surely, 2^37469344900 is an apocalyptic number.

37469344900 is the 193570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37469344900

37469344900 is an abundant number, since it is smaller than the sum of its proper divisors (50633916521).

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

37469344900 is a wasteful number, since it uses less digits than its factorization.

37469344900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 1509 counting only the distinct ones).

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

Multiplying 37469344900 by its sum of digits (49), we get a square (1835997900100 = 1354990²).

The spelling of 37469344900 in words is "thirty-seven billion, four hundred sixty-nine million, three hundred forty-four thousand, nine hundred".