344166912 has 120 divisors (see below), whose sum is σ = 1045833360. Its totient is φ = 108656640.

The previous prime is 344166877. The next prime is 344166913. The reversal of 344166912 is 219661443.

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 not an unprimeable number, because it can be changed into a prime (344166913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85587 + ... + 89517.

It is an arithmetic number, because the mean of its divisors is an integer number (8715278).

Almost surely, 2^344166912 is an apocalyptic number.

344166912 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 344166912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522916680).

344166912 is an abundant number, since it is smaller than the sum of its proper divisors (701666448).

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

344166912 is a wasteful number, since it uses less digits than its factorization.

344166912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3974 (or 3955 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 344166912 is about 18551.7360912665. The cubic root of 344166912 is about 700.7929191753.

It can be divided in two parts, 34416 and 6912, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 344166912 in words is "three hundred forty-four million, one hundred sixty-six thousand, nine hundred twelve".