338086752 has 96 divisors (see below), whose sum is σ = 980646912. Its totient is φ = 101443584.

The previous prime is 338086747. The next prime is 338086789. The reversal of 338086752 is 257680833.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×338086752² = 228605303755819008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33033 + ... + 42039.

It is an arithmetic number, because the mean of its divisors is an integer number (10215072).

Almost surely, 2^338086752 is an apocalyptic number.

338086752 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 338086752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490323456).

338086752 is an abundant number, since it is smaller than the sum of its proper divisors (642560160).

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

338086752 is a wasteful number, since it uses less digits than its factorization.

338086752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9060 (or 9052 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 338086752 is about 18387.1355028455. The cubic root of 338086752 is about 696.6415672324.

The spelling of 338086752 in words is "three hundred thirty-eight million, eighty-six thousand, seven hundred fifty-two".