338115072 has 80 divisors (see below), whose sum is σ = 905379552. Its totient is φ = 112128000.

The previous prime is 338115067. The next prime is 338115073. The reversal of 338115072 is 270511833.

It is a super-2 number, since 2×338115072² = 228643603827130368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338115073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 385098 + ... + 385974.

Almost surely, 2^338115072 is an apocalyptic number.

338115072 is a gapful number since it is divisible by the number (32) 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 338115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452689776).

338115072 is an abundant number, since it is smaller than the sum of its proper divisors (567264480).

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

338115072 is an equidigital number, since it uses as much as digits as its factorization.

338115072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 338115072 is about 18387.9055903602. The cubic root of 338115072 is about 696.6610181950.

It can be divided in two parts, 33811 and 5072, that added together give a palindrome (38883).

The spelling of 338115072 in words is "three hundred thirty-eight million, one hundred fifteen thousand, seventy-two".