376360000 has 105 divisors (see below), whose sum is σ = 942970809. Its totient is φ = 148992000.

The previous prime is 376359989. The next prime is 376360001. The reversal of 376360000 is 63673.

It is a happy number.

The square root of 376360000 is 19400.

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

It can be written as a sum of positive squares in 7 ways, for example, as 304991296 + 71368704 = 17464^2 + 8448^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (376360001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3879952 + ... + 3880048.

Almost surely, 2^376360000 is an apocalyptic number.

376360000 is the 19400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376360000

376360000 is an abundant number, since it is smaller than the sum of its proper divisors (566610809).

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

376360000 is an frugal number, since it uses more digits than its factorization.

376360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 25.

The cubic root of 376360000 is about 721.9954931515.

Multiplying 376360000 by its sum of digits (25), we get a square (9409000000 = 97000²).

376360000 divided by its sum of digits (25) gives a square (15054400 = 3880²).

The spelling of 376360000 in words is "three hundred seventy-six million, three hundred sixty thousand".