368374400 has 48 divisors (see below), whose sum is σ = 910007790. Its totient is φ = 147348480.

The previous prime is 368374399. The next prime is 368374403. The reversal of 368374400 is 4473863.

It can be written as a sum of positive squares in 3 ways, for example, as 356152384 + 12222016 = 18872^2 + 3496^2 .

It is not an unprimeable number, because it can be changed into a prime (368374403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54359 + ... + 60758.

Almost surely, 2^368374400 is an apocalyptic number.

It is an amenable number.

368374400 is an abundant number, since it is smaller than the sum of its proper divisors (541633390).

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

368374400 is a wasteful number, since it uses less digits than its factorization.

368374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115141 (or 115124 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 368374400 is about 19193.0820870438. The cubic root of 368374400 is about 716.8525159493.

The spelling of 368374400 in words is "three hundred sixty-eight million, three hundred seventy-four thousand, four hundred".