344345072 has 40 divisors (see below), whose sum is σ = 692671440. Its totient is φ = 165634560.

The previous prime is 344345069. The next prime is 344345107. The reversal of 344345072 is 270543443.

It is a super-2 number, since 2×344345072² = 237147057221370368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144047 + ... + 146417.

It is an arithmetic number, because the mean of its divisors is an integer number (17316786).

Almost surely, 2^344345072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344345072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346335720).

344345072 is an abundant number, since it is smaller than the sum of its proper divisors (348326368).

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

344345072 is a wasteful number, since it uses less digits than its factorization.

344345072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 32.

The square root of 344345072 is about 18556.5371769627. The cubic root of 344345072 is about 700.9138214901.

The spelling of 344345072 in words is "three hundred forty-four million, three hundred forty-five thousand, seventy-two".