360032882000 has 320 divisors, whose sum is σ = 964035012096. Its totient is φ = 128960000000.

The previous prime is 360032881997. The next prime is 360032882039. The reversal of 360032882000 is 288230063.

It is a happy number.

It is a super-2 number, since 2×360032882000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 691041740 + ... + 691042260.

Almost surely, 2^360032882000 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 360032882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482017506048).

360032882000 is an abundant number, since it is smaller than the sum of its proper divisors (604002130096).

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

360032882000 is a wasteful number, since it uses less digits than its factorization.

360032882000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 360032882000 in words is "three hundred sixty billion, thirty-two million, eight hundred eighty-two thousand".