368004736 has 128 divisors (see below), whose sum is σ = 838978560. Its totient is φ = 159329280.

The previous prime is 368004731. The next prime is 368004739. The reversal of 368004736 is 637400863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 368004695 and 368004704.

It is not an unprimeable number, because it can be changed into a prime (368004731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4433751 + ... + 4433833.

It is an arithmetic number, because the mean of its divisors is an integer number (6554520).

Almost surely, 2^368004736 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 368004736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419489280).

368004736 is an abundant number, since it is smaller than the sum of its proper divisors (470973824).

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

368004736 is a wasteful number, since it uses less digits than its factorization.

368004736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 368004736 is about 19183.4495333868. The cubic root of 368004736 is about 716.6126483412.

The spelling of 368004736 in words is "three hundred sixty-eight million, four thousand, seven hundred thirty-six".