344610640 has 80 divisors (see below), whose sum is σ = 885300480. Its totient is φ = 123701760.

The previous prime is 344610631. The next prime is 344610649. The reversal of 344610640 is 46016443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (344610631) and next prime (344610649).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 344610599 and 344610608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344610649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67042 + ... + 71998.

It is an arithmetic number, because the mean of its divisors is an integer number (11066256).

Almost surely, 2^344610640 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 344610640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442650240).

344610640 is an abundant number, since it is smaller than the sum of its proper divisors (540689840).

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

344610640 is a wasteful number, since it uses less digits than its factorization.

344610640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5060 (or 5054 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 344610640 is about 18563.6914432448. The cubic root of 344610640 is about 701.0939629289.

The spelling of 344610640 in words is "three hundred forty-four million, six hundred ten thousand, six hundred forty".