363701664 has 60 divisors (see below), whose sum is σ = 1069644114. Its totient is φ = 121233024.

The previous prime is 363701659. The next prime is 363701669. The reversal of 363701664 is 466107363.

It is a happy number.

363701664 is a `hidden beast` number, since 3 + 637 + 0 + 16 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (363701659) and next prime (363701669).

It can be written as a sum of positive squares in only one way, i.e., 202208400 + 161493264 = 14220^2 + 12708^2 .

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

It is not an unprimeable number, because it can be changed into a prime (363701669) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 67567 + ... + 72750.

Almost surely, 2^363701664 is an apocalyptic number.

It is an amenable number.

363701664 is an abundant number, since it is smaller than the sum of its proper divisors (705942450).

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

363701664 is a wasteful number, since it uses less digits than its factorization.

363701664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140339 (or 140322 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 363701664 is about 19070.9638980310. The cubic root of 363701664 is about 713.8085780188.

The spelling of 363701664 in words is "three hundred sixty-three million, seven hundred one thousand, six hundred sixty-four".