344145360 has 160 divisors (see below), whose sum is σ = 1165425408. Its totient is φ = 83496960.

The previous prime is 344145341. The next prime is 344145367. The reversal of 344145360 is 63541443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344145367) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 227005 + ... + 228515.

Almost surely, 2^344145360 is an apocalyptic number.

344145360 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 344145360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582712704).

344145360 is an abundant number, since it is smaller than the sum of its proper divisors (821280048).

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

344145360 is a wasteful number, since it uses less digits than its factorization.

344145360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 344145360 is about 18551.1552200934. The cubic root of 344145360 is about 700.7782908039.

The spelling of 344145360 in words is "three hundred forty-four million, one hundred forty-five thousand, three hundred sixty".