37643760400 has 135 divisors (see below), whose sum is σ = 92313564861. Its totient is φ = 14751728640.

The previous prime is 37643760397. The next prime is 37643760449. The reversal of 37643760400 is 406734673.

The square root of 37643760400 is 194020.

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 28538020624 + 9105739776 = 168932^2 + 95424^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 345355546 + ... + 345355654.

Almost surely, 2^37643760400 is an apocalyptic number.

37643760400 is the 194020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37643760400

37643760400 is an abundant number, since it is smaller than the sum of its proper divisors (54669804461).

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

37643760400 is an equidigital number, since it uses as much as digits as its factorization.

37643760400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 40.

The spelling of 37643760400 in words is "thirty-seven billion, six hundred forty-three million, seven hundred sixty thousand, four hundred".