3730766400 has 189 divisors, whose sum is σ = 13286126971. Its totient is φ = 992916480.

The previous prime is 3730766383. The next prime is 3730766437. The reversal of 3730766400 is 46670373.

The square root of 3730766400 is 61080.

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

3730766400 is a `hidden beast` number, since 3 + 7 + 3 + 0 + 7 + 6 + 640 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 142277184 + 3588489216 = 11928^2 + 59904^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7329346 + ... + 7329854.

Almost surely, 2^3730766400 is an apocalyptic number.

3730766400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3730766400 is the 61080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3730766400

3730766400 is an abundant number, since it is smaller than the sum of its proper divisors (9555360571).

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

3730766400 is an equidigital number, since it uses as much as digits as its factorization.

3730766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The cubic root of 3730766400 is about 1550.9555536999.

Multiplying 3730766400 by its sum of digits (36), we get a square (134307590400 = 366480²).

3730766400 divided by its sum of digits (36) gives a square (103632400 = 10180²).

Multiplying 3730766400 by its product of nonzero digits (63504), we get a square (236918589465600 = 15392160²).

The spelling of 3730766400 in words is "three billion, seven hundred thirty million, seven hundred sixty-six thousand, four hundred".