338012160 has 96 divisors (see below), whose sum is σ = 1081473120. Its totient is φ = 90128384.

The previous prime is 338012153. The next prime is 338012167. The reversal of 338012160 is 61210833.

338012160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (338012153) and next prime (338012167).

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

It is a super-2 number, since 2×338012160² = 228504440615731200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 338012160.

It is not an unprimeable number, because it can be changed into a prime (338012167) 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, 25219 + ... + 36221.

It is an arithmetic number, because the mean of its divisors is an integer number (11265345).

Almost surely, 2^338012160 is an apocalyptic number.

338012160 is a gapful number since it is divisible by the number (30) 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 338012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540736560).

338012160 is an abundant number, since it is smaller than the sum of its proper divisors (743460960).

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

338012160 is a wasteful number, since it uses less digits than its factorization.

338012160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11033 (or 11013 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 338012160 is about 18385.1070162781. The cubic root of 338012160 is about 696.5903301761.

Adding to 338012160 its reverse (61210833), we get a palindrome (399222993).

The spelling of 338012160 in words is "three hundred thirty-eight million, twelve thousand, one hundred sixty".