338579136 has 224 divisors, whose sum is σ = 1187988480. Its totient is φ = 92454912.

The previous prime is 338579083. The next prime is 338579201. The reversal of 338579136 is 631975833.

338579136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×338579136² = 229271662669012992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338579091 and 338579100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277600 + ... + 278816.

It is an arithmetic number, because the mean of its divisors is an integer number (5303520).

Almost surely, 2^338579136 is an apocalyptic number.

338579136 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 338579136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593994240).

338579136 is an abundant number, since it is smaller than the sum of its proper divisors (849409344).

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

338579136 is a wasteful number, since it uses less digits than its factorization.

338579136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1252 counting only the distinct ones).

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

The square root of 338579136 is about 18400.5199926524. The cubic root of 338579136 is about 696.9795956363.

The spelling of 338579136 in words is "three hundred thirty-eight million, five hundred seventy-nine thousand, one hundred thirty-six".