360989038368 has 768 divisors, whose sum is σ = 1314915840000. Its totient is φ = 96018048000.

The previous prime is 360989038357. The next prime is 360989038373. The reversal of 360989038368 is 863830989063.

It is a super-2 number, since 2×360989038368² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 343471443 + ... + 343472493.

It is an arithmetic number, because the mean of its divisors is an integer number (1712130000).

Almost surely, 2^360989038368 is an apocalyptic number.

360989038368 is a gapful number since it is divisible by the number (38) 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 360989038368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657457920000).

360989038368 is an abundant number, since it is smaller than the sum of its proper divisors (953926801632).

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

360989038368 is a wasteful number, since it uses less digits than its factorization.

360989038368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 360989038368 in words is "three hundred sixty billion, nine hundred eighty-nine million, thirty-eight thousand, three hundred sixty-eight".