368046720 has 384 divisors, whose sum is σ = 1399032000. Its totient is φ = 91404288.

The previous prime is 368046691. The next prime is 368046737. The reversal of 368046720 is 27640863.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6238051 + ... + 6238109.

Almost surely, 2^368046720 is an apocalyptic number.

368046720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699516000).

368046720 is an abundant number, since it is smaller than the sum of its proper divisors (1030985280).

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

368046720 is a wasteful number, since it uses less digits than its factorization.

368046720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 368046720 is about 19184.5437787819. The cubic root of 368046720 is about 716.6398990062.

The spelling of 368046720 in words is "three hundred sixty-eight million, forty-six thousand, seven hundred twenty".