338975136 has 72 divisors (see below), whose sum is σ = 967599360. Its totient is φ = 112565376.

The previous prime is 338975099. The next prime is 338975141. The reversal of 338975136 is 631579833.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×338975136² = 229808285652436992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338975091 and 338975100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79425 + ... + 83583.

It is an arithmetic number, because the mean of its divisors is an integer number (13438880).

Almost surely, 2^338975136 is an apocalyptic number.

338975136 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 338975136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483799680).

338975136 is an abundant number, since it is smaller than the sum of its proper divisors (628624224).

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

338975136 is a wasteful number, since it uses less digits than its factorization.

338975136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458 (or 4447 counting only the distinct ones).

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

The square root of 338975136 is about 18411.2774135854. The cubic root of 338975136 is about 697.2512173994.

The spelling of 338975136 in words is "three hundred thirty-eight million, nine hundred seventy-five thousand, one hundred thirty-six".