344008040 has 64 divisors (see below), whose sum is σ = 809948160. Its totient is φ = 131361280.

The previous prime is 344008037. The next prime is 344008061. The reversal of 344008040 is 40800443.

It is a junction number, because it is equal to n+sod(n) for n = 344007997 and 344008015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74849 + ... + 79311.

It is an arithmetic number, because the mean of its divisors is an integer number (12655440).

Almost surely, 2^344008040 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 344008040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404974080).

344008040 is an abundant number, since it is smaller than the sum of its proper divisors (465940120).

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

344008040 is a wasteful number, since it uses less digits than its factorization.

344008040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4562 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 344008040 is about 18547.4537335991. The cubic root of 344008040 is about 700.6850708178.

Adding to 344008040 its reverse (40800443), we get a palindrome (384808483).

The spelling of 344008040 in words is "three hundred forty-four million, eight thousand, forty".