334149120 has 120 divisors (see below), whose sum is σ = 1157332176. Its totient is φ = 89100288.

The previous prime is 334149113. The next prime is 334149133. The reversal of 334149120 is 21941433.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×334149120² = 223311268793548800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15789 + ... + 30291.

Almost surely, 2^334149120 is an apocalyptic number.

334149120 is a gapful number since it is divisible by the number (30) 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 334149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578666088).

334149120 is an abundant number, since it is smaller than the sum of its proper divisors (823183056).

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

334149120 is a wasteful number, since it uses less digits than its factorization.

334149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14532 (or 14513 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 334149120 is about 18279.7461689160. The cubic root of 334149120 is about 693.9264484224.

The spelling of 334149120 in words is "three hundred thirty-four million, one hundred forty-nine thousand, one hundred twenty".