334171872 has 96 divisors (see below), whose sum is σ = 1008352800. Its totient is φ = 107541504.

The previous prime is 334171801. The next prime is 334171891. The reversal of 334171872 is 278171433.

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

It is a super-2 number, since 2×334171872² = 223341680071968768, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18388 + ... + 31724.

It is an arithmetic number, because the mean of its divisors is an integer number (10503675).

Almost surely, 2^334171872 is an apocalyptic number.

334171872 is a gapful number since it is divisible by the number (32) 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 334171872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504176400).

334171872 is an abundant number, since it is smaller than the sum of its proper divisors (674180928).

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

334171872 is a wasteful number, since it uses less digits than its factorization.

334171872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13385 (or 13371 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 334171872 is about 18280.3684864392. The cubic root of 334171872 is about 693.9421977344.

The spelling of 334171872 in words is "three hundred thirty-four million, one hundred seventy-one thousand, eight hundred seventy-two".