368083104 has 96 divisors (see below), whose sum is σ = 999734400. Its totient is φ = 118490112.

The previous prime is 368083091. The next prime is 368083129. The reversal of 368083104 is 401380863.

It is a tau number, because it is divible by the number of its divisors (96).

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, 614197 + ... + 614795.

It is an arithmetic number, because the mean of its divisors is an integer number (10413900).

Almost surely, 2^368083104 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 368083104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499867200).

368083104 is an abundant number, since it is smaller than the sum of its proper divisors (631651296).

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

368083104 is a wasteful number, since it uses less digits than its factorization.

368083104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 368083104 is about 19185.4920187104. The cubic root of 368083104 is about 716.6635131885.

The spelling of 368083104 in words is "three hundred sixty-eight million, eighty-three thousand, one hundred four".