334338336 has 72 divisors (see below), whose sum is σ = 954917964. Its totient is φ = 110960640.

The previous prime is 334338289. The next prime is 334338343. The reversal of 334338336 is 633833433.

It can be written as a sum of positive squares in 2 ways, for example, as 330512400 + 3825936 = 18180^2 + 1956^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×334338336² = 223564245838497792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 334338336.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67000 + ... + 71816.

Almost surely, 2^334338336 is an apocalyptic number.

334338336 is a gapful number since it is divisible by the number (36) 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 334338336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477458982).

334338336 is an abundant number, since it is smaller than the sum of its proper divisors (620579628).

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

334338336 is a wasteful number, since it uses less digits than its factorization.

334338336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5074 (or 5063 counting only the distinct ones).

The product of its digits is 139968, while the sum is 36.

The square root of 334338336 is about 18284.9210006497. The cubic root of 334338336 is about 694.0574051351.

The spelling of 334338336 in words is "three hundred thirty-four million, three hundred thirty-eight thousand, three hundred thirty-six".