338993136 has 120 divisors (see below), whose sum is σ = 1042254720. Its totient is φ = 102377088.

The previous prime is 338993131. The next prime is 338993177. The reversal of 338993136 is 631399833.

It is a super-2 number, since 2×338993136² = 229832692510228992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 338993091 and 338993100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338993131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60235 + ... + 65621.

It is an arithmetic number, because the mean of its divisors is an integer number (8685456).

Almost surely, 2^338993136 is an apocalyptic number.

338993136 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 338993136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521127360).

338993136 is an abundant number, since it is smaller than the sum of its proper divisors (703261584).

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

338993136 is a wasteful number, since it uses less digits than its factorization.

338993136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5443 (or 5434 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 338993136 is about 18411.7662379251. The cubic root of 338993136 is about 697.2635588157.

The spelling of 338993136 in words is "three hundred thirty-eight million, nine hundred ninety-three thousand, one hundred thirty-six".