368407104 has 112 divisors (see below), whose sum is σ = 1060655232. Its totient is φ = 112177152.

The previous prime is 368407087. The next prime is 368407141. The reversal of 368407104 is 401704863.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256372 + ... + 257804.

It is an arithmetic number, because the mean of its divisors is an integer number (9470136).

Almost surely, 2^368407104 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 368407104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530327616).

368407104 is an abundant number, since it is smaller than the sum of its proper divisors (692248128).

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

368407104 is a wasteful number, since it uses less digits than its factorization.

368407104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 368407104 is about 19193.9340417748. The cubic root of 368407104 is about 716.8737291959.

It can be divided in two parts, 368407 and 104, that added together give a triangular number (368511 = T₈₅₈).

The spelling of 368407104 in words is "three hundred sixty-eight million, four hundred seven thousand, one hundred four".