334034496 has 224 divisors, whose sum is σ = 1059972480. Its totient is φ = 102776832.

The previous prime is 334034471. The next prime is 334034507. The reversal of 334034496 is 694430433.

It is a happy number.

334034496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×334034496² = 223158089035948032, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 334034496.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2438140 + ... + 2438276.

It is an arithmetic number, because the mean of its divisors is an integer number (4732020).

Almost surely, 2^334034496 is an apocalyptic number.

334034496 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 334034496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529986240).

334034496 is an abundant number, since it is smaller than the sum of its proper divisors (725937984).

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

334034496 is a wasteful number, since it uses less digits than its factorization.

334034496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 334034496 is about 18276.6106266999. The cubic root of 334034496 is about 693.8470929119.

The spelling of 334034496 in words is "three hundred thirty-four million, thirty-four thousand, four hundred ninety-six".