361715328 has 256 divisors, whose sum is σ = 1175529600. Its totient is φ = 108822528.

The previous prime is 361715327. The next prime is 361715329. The reversal of 361715328 is 823517163.

361715328 is a `hidden beast` number, since 3 + 617 + 1 + 5 + 32 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (361715327) and next prime (361715329).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (30240) is a multiple of the sum of its prime factors (216).

It is a junction number, because it is equal to n+sod(n) for n = 361715292 and 361715301.

It is not an unprimeable number, because it can be changed into a prime (361715323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3728976 + ... + 3729072.

Almost surely, 2^361715328 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 361715328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587764800).

361715328 is an abundant number, since it is smaller than the sum of its proper divisors (813814272).

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

361715328 is a wasteful number, since it uses less digits than its factorization.

361715328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 198 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 361715328 is about 19018.8151050479. The cubic root of 361715328 is about 712.5067301303.

The spelling of 361715328 in words is "three hundred sixty-one million, seven hundred fifteen thousand, three hundred twenty-eight".