336130080 has 384 divisors, whose sum is σ = 1280240640. Its totient is φ = 73052160.

The previous prime is 336130057. The next prime is 336130111. The reversal of 336130080 is 80031633.

It is a super-2 number, since 2×336130080² = 225966861361612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 336130080.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4049719 + ... + 4049801.

It is an arithmetic number, because the mean of its divisors is an integer number (3333960).

Almost surely, 2^336130080 is an apocalyptic number.

336130080 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 336130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640120320).

336130080 is an abundant number, since it is smaller than the sum of its proper divisors (944110560).

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

336130080 is a wasteful number, since it uses less digits than its factorization.

336130080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 336130080 is about 18333.8506593678. The cubic root of 336130080 is about 695.2950319948.

The spelling of 336130080 in words is "three hundred thirty-six million, one hundred thirty thousand, eighty".