338122512 has 400 divisors, whose sum is σ = 1250253312. Its totient is φ = 85847040.

The previous prime is 338122511. The next prime is 338122567. The reversal of 338122512 is 215221833.

It is a super-2 number, since 2×338122512² = 228653666242380288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (338122511) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5542962 + ... + 5543022.

Almost surely, 2^338122512 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 338122512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625126656).

338122512 is an abundant number, since it is smaller than the sum of its proper divisors (912130800).

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

338122512 is a wasteful number, since it uses less digits than its factorization.

338122512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 133 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 338122512 is about 18388.1078961377. The cubic root of 338122512 is about 696.6661280135. Note that the first 3 decimals are identical.

The spelling of 338122512 in words is "three hundred thirty-eight million, one hundred twenty-two thousand, five hundred twelve".