360008880 has 480 divisors, whose sum is σ = 1490047488. Its totient is φ = 71554560.

The previous prime is 360008879. The next prime is 360008939. The reversal of 360008880 is 88800063.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15652549 + ... + 15652571.

Almost surely, 2^360008880 is an apocalyptic number.

360008880 is a gapful number since it is divisible by the number (30) 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 360008880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745023744).

360008880 is an abundant number, since it is smaller than the sum of its proper divisors (1130038608).

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

360008880 is a wasteful number, since it uses less digits than its factorization.

360008880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 360008880 is about 18973.8999681141. The cubic root of 360008880 is about 711.3845099634.

The spelling of 360008880 in words is "three hundred sixty million, eight thousand, eight hundred eighty".