361893312 has 224 divisors, whose sum is σ = 1180185600. Its totient is φ = 107827200.

The previous prime is 361893283. The next prime is 361893317. The reversal of 361893312 is 213398163.

361893312 is a `hidden beast` number, since 3 + 618 + 9 + 3 + 31 + 2 = 666.

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 (361893317) 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 31 ways as a sum of consecutive naturals, for example, 1501512 + ... + 1501752.

Almost surely, 2^361893312 is an apocalyptic number.

361893312 is a gapful number since it is divisible by the number (32) 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 361893312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590092800).

361893312 is an abundant number, since it is smaller than the sum of its proper divisors (818292288).

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

361893312 is a wasteful number, since it uses less digits than its factorization.

361893312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 336 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 361893312 is about 19023.4936854406. The cubic root of 361893312 is about 712.6235752419.

The spelling of 361893312 in words is "three hundred sixty-one million, eight hundred ninety-three thousand, three hundred twelve".