338868720960 has 896 divisors, whose sum is σ = 1450375925760. Its totient is φ = 64895385600.

The previous prime is 338868720959. The next prime is 338868721021. The reversal of 338868720960 is 69027868833.

It is a super-2 number, since 2×338868720960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 338868720894 and 338868720903.

It is a congruent number.

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, 51962500 + ... + 51969020.

Almost surely, 2^338868720960 is an apocalyptic number.

338868720960 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 338868720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725187962880).

338868720960 is an abundant number, since it is smaller than the sum of its proper divisors (1111507204800).

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

338868720960 is a wasteful number, since it uses less digits than its factorization.

338868720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6615 (or 6605 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 338868720960 in words is "three hundred thirty-eight billion, eight hundred sixty-eight million, seven hundred twenty thousand, nine hundred sixty".