334374768 has 480 divisors, whose sum is σ = 1299916800. Its totient is φ = 77635584.

The previous prime is 334374767. The next prime is 334374793. The reversal of 334374768 is 867473433.

It is a super-2 number, since 2×334374768² = 223612970950107648, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334374763) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4232553 + ... + 4232631.

It is an arithmetic number, because the mean of its divisors is an integer number (2708160).

Almost surely, 2^334374768 is an apocalyptic number.

334374768 is a gapful number since it is divisible by the number (38) 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 334374768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649958400).

334374768 is an abundant number, since it is smaller than the sum of its proper divisors (965542032).

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

334374768 is a wasteful number, since it uses less digits than its factorization.

334374768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 140 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 334374768 is about 18285.9172042312. The cubic root of 334374768 is about 694.0826141108.

The spelling of 334374768 in words is "three hundred thirty-four million, three hundred seventy-four thousand, seven hundred sixty-eight".