344673072 has 120 divisors (see below), whose sum is σ = 1021363200. Its totient is φ = 108203904.

The previous prime is 344673071. The next prime is 344673073. The reversal of 344673072 is 270376443.

It is a happy number.

344673072 is a `hidden beast` number, since 344 + 6 + 7 + 307 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (344673071) and next prime (344673073).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (344673071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 719329 + ... + 719807.

It is an arithmetic number, because the mean of its divisors is an integer number (8511360).

Almost surely, 2^344673072 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 344673072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510681600).

344673072 is an abundant number, since it is smaller than the sum of its proper divisors (676690128).

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

344673072 is a wasteful number, since it uses less digits than its factorization.

344673072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 344673072 is about 18565.3729291927. The cubic root of 344673072 is about 701.1362986843.

The spelling of 344673072 in words is "three hundred forty-four million, six hundred seventy-three thousand, seventy-two".