344410380 has 120 divisors (see below), whose sum is σ = 1117836720. Its totient is φ = 88663680.

The previous prime is 344410379. The next prime is 344410427. The reversal of 344410380 is 83014443.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43315 + ... + 50645.

It is an arithmetic number, because the mean of its divisors is an integer number (9315306).

Almost surely, 2^344410380 is an apocalyptic number.

344410380 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 344410380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558918360).

344410380 is an abundant number, since it is smaller than the sum of its proper divisors (773426340).

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

344410380 is a wasteful number, since it uses less digits than its factorization.

344410380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7381 (or 7370 counting only the distinct ones).

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

The square root of 344410380 is about 18558.2967968507. The cubic root of 344410380 is about 700.9581301309.

It can be divided in two parts, 3444 and 10380, that added together give a cube (13824 = 24³).

The spelling of 344410380 in words is "three hundred forty-four million, four hundred ten thousand, three hundred eighty".