334349136 has 180 divisors, whose sum is σ = 1063404160. Its totient is φ = 97891200.

The previous prime is 334349053. The next prime is 334349143. The reversal of 334349136 is 631943433.

It is a super-2 number, since 2×334349136² = 223578689487892992, 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 334349136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 539835 + ... + 540453.

Almost surely, 2^334349136 is an apocalyptic number.

334349136 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 334349136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531702080).

334349136 is an abundant number, since it is smaller than the sum of its proper divisors (729055024).

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

334349136 is a wasteful number, since it uses less digits than its factorization.

334349136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 666 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 334349136 is about 18285.2163235768. The cubic root of 334349136 is about 694.0648783425.

The spelling of 334349136 in words is "three hundred thirty-four million, three hundred forty-nine thousand, one hundred thirty-six".