338091936 has 192 divisors, whose sum is σ = 1103558400. Its totient is φ = 88777728.

The previous prime is 338091931. The next prime is 338091979. The reversal of 338091936 is 639190833.

It is a super-2 number, since 2×338091936² = 228612314376456192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (338091931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1476270 + ... + 1476498.

It is an arithmetic number, because the mean of its divisors is an integer number (5747700).

Almost surely, 2^338091936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338091936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551779200).

338091936 is an abundant number, since it is smaller than the sum of its proper divisors (765466464).

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

338091936 is a wasteful number, since it uses less digits than its factorization.

338091936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 338091936 is about 18387.2764704292. The cubic root of 338091936 is about 696.6451278288.

The spelling of 338091936 in words is "three hundred thirty-eight million, ninety-one thousand, nine hundred thirty-six".