363661632 has 42 divisors (see below), whose sum is σ = 1042372058. Its totient is φ = 121220352.

The previous prime is 363661631. The next prime is 363661657. The reversal of 363661632 is 236166363.

It is a happy number.

363661632 is a `hidden beast` number, since 3 + 6 + 3 + 6 + 616 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 358572096 + 5089536 = 18936^2 + 2256^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363661631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 315103 + ... + 316254.

Almost surely, 2^363661632 is an apocalyptic number.

363661632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

363661632 is an abundant number, since it is smaller than the sum of its proper divisors (678710426).

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

363661632 is a wasteful number, since it uses less digits than its factorization.

363661632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631375 (or 631362 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 363661632 is about 19069.9143154866. The cubic root of 363661632 is about 713.7823878413.

The spelling of 363661632 in words is "three hundred sixty-three million, six hundred sixty-one thousand, six hundred thirty-two".