336088488960 has 2112 divisors, whose sum is σ = 1520531251200. Its totient is φ = 66886041600.

The previous prime is 336088488907. The next prime is 336088489001. The reversal of 336088488960 is 69884880633.

336088488960 is a `hidden beast` number, since 3 + 3 + 60 + 8 + 8 + 488 + 96 + 0 = 666.

It is a super-2 number, since 2×336088488960² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5509647330 + ... + 5509647390.

Almost surely, 2^336088488960 is an apocalyptic number.

336088488960 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 336088488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760265625600).

336088488960 is an abundant number, since it is smaller than the sum of its proper divisors (1184442762240).

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

336088488960 is a wasteful number, since it uses less digits than its factorization.

336088488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 336088488960 in words is "three hundred thirty-six billion, eighty-eight million, four hundred eighty-eight thousand, nine hundred sixty".