344672640 has 192 divisors, whose sum is σ = 1282029840. Its totient is φ = 84824064.

The previous prime is 344672623. The next prime is 344672651. The reversal of 344672640 is 46276443.

344672640 is a `hidden beast` number, since 3 + 4 + 4 + 6 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 344672595 and 344672604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72579 + ... + 77181.

Almost surely, 2^344672640 is an apocalyptic number.

344672640 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 344672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641014920).

344672640 is an abundant number, since it is smaller than the sum of its proper divisors (937357200).

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

344672640 is a wasteful number, since it uses less digits than its factorization.

344672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4641 (or 4626 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 344672640 is about 18565.3612946261. The cubic root of 344672640 is about 701.1360057584.

The spelling of 344672640 in words is "three hundred forty-four million, six hundred seventy-two thousand, six hundred forty".