368694400 has 144 divisors (see below), whose sum is σ = 950165190. Its totient is φ = 141352960.

The previous prime is 368694397. The next prime is 368694401. The reversal of 368694400 is 4496863.

It can be written as a sum of positive squares in 9 ways, for example, as 36288576 + 332405824 = 6024^2 + 18232^2 .

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

It is not an unprimeable number, because it can be changed into a prime (368694401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2691132 + ... + 2691268.

Almost surely, 2^368694400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475082595).

368694400 is an abundant number, since it is smaller than the sum of its proper divisors (581470790).

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

368694400 is a wasteful number, since it uses less digits than its factorization.

368694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 368694400 is about 19201.4166144063. The cubic root of 368694400 is about 717.0600280295.

The spelling of 368694400 in words is "three hundred sixty-eight million, six hundred ninety-four thousand, four hundred".