338795136 has 160 divisors (see below), whose sum is σ = 1034136180. Its totient is φ = 110039040.

The previous prime is 338795123. The next prime is 338795141. The reversal of 338795136 is 631597833.

It can be written as a sum of positive squares in 2 ways, for example, as 311169600 + 27625536 = 17640^2 + 5256^2 .

It is a super-2 number, since 2×338795136² = 229564288354516992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338795091 and 338795100.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 424690 + ... + 425486.

Almost surely, 2^338795136 is an apocalyptic number.

338795136 is a gapful number since it is divisible by the number (36) 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 338795136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517068090).

338795136 is an abundant number, since it is smaller than the sum of its proper divisors (695341044).

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

338795136 is an equidigital number, since it uses as much as digits as its factorization.

338795136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 843 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 338795136 is about 18406.3884561855. The cubic root of 338795136 is about 697.1277792006.

The spelling of 338795136 in words is "three hundred thirty-eight million, seven hundred ninety-five thousand, one hundred thirty-six".