344134080 has 252 divisors, whose sum is σ = 1253029752. Its totient is φ = 86676480.

The previous prime is 344134057. The next prime is 344134081. The reversal of 344134080 is 80431443.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344134081) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1039515 + ... + 1039845.

Almost surely, 2^344134080 is an apocalyptic number.

344134080 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 344134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626514876).

344134080 is an abundant number, since it is smaller than the sum of its proper divisors (908895672).

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

344134080 is a wasteful number, since it uses less digits than its factorization.

344134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 344134080 is about 18550.8511934089. The cubic root of 344134080 is about 700.7706342859.

The spelling of 344134080 in words is "three hundred forty-four million, one hundred thirty-four thousand, eighty".