338857229376 has 84 divisors (see below), whose sum is σ = 971453187900. Its totient is φ = 112931463168.

The previous prime is 338857229371. The next prime is 338857229407. The reversal of 338857229376 is 673922758833.

338857229376 is a `hidden beast` number, since 3 + 3 + 8 + 8 + 572 + 29 + 37 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 256465267776 + 82391961600 = 506424^2 + 287040^2 .

It is a super-2 number, since 2×338857229376² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (338857229371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3225160 + ... + 3328568.

Almost surely, 2^338857229376 is an apocalyptic number.

338857229376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

338857229376 is an abundant number, since it is smaller than the sum of its proper divisors (632595958524).

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

338857229376 is a wasteful number, since it uses less digits than its factorization.

338857229376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109116 (or 109103 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 338857229376 in words is "three hundred thirty-eight billion, eight hundred fifty-seven million, two hundred twenty-nine thousand, three hundred seventy-six".