338724936 has 128 divisors (see below), whose sum is σ = 1054454400. Its totient is φ = 99843840.

The previous prime is 338724917. The next prime is 338724977. The reversal of 338724936 is 639427833.

It is a super-4 number, since 4×338724936⁴ (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 338724891 and 338724900.

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, 85986 + ... + 89838.

It is an arithmetic number, because the mean of its divisors is an integer number (8237925).

Almost surely, 2^338724936 is an apocalyptic number.

338724936 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 338724936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527227200).

338724936 is an abundant number, since it is smaller than the sum of its proper divisors (715729464).

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

338724936 is a wasteful number, since it uses less digits than its factorization.

338724936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916 (or 3906 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 338724936 is about 18404.4814107869. The cubic root of 338724936 is about 697.0796264525.

The spelling of 338724936 in words is "three hundred thirty-eight million, seven hundred twenty-four thousand, nine hundred thirty-six".