338884128 has 192 divisors, whose sum is σ = 1089728640. Its totient is φ = 101606400.

The previous prime is 338884127. The next prime is 338884129. The reversal of 338884128 is 821488833.

It is an interprime number because it is at equal distance from previous prime (338884127) and next prime (338884129).

It is a super-2 number, since 2×338884128² = 229684904420640768, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (338884127) 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, 1720126 + ... + 1720322.

It is an arithmetic number, because the mean of its divisors is an integer number (5675670).

Almost surely, 2^338884128 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 338884128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544864320).

338884128 is an abundant number, since it is smaller than the sum of its proper divisors (750844512).

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

338884128 is a wasteful number, since it uses less digits than its factorization.

338884128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 394 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 338884128 is about 18408.8057190031. The cubic root of 338884128 is about 697.1888125092.

The spelling of 338884128 in words is "three hundred thirty-eight million, eight hundred eighty-four thousand, one hundred twenty-eight".