344496240 has 320 divisors, whose sum is σ = 1317772800. Its totient is φ = 83047680.

The previous prime is 344496223. The next prime is 344496241. The reversal of 344496240 is 42694443.

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 = 344496195 and 344496204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344496241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1924471 + ... + 1924649.

It is an arithmetic number, because the mean of its divisors is an integer number (4118040).

Almost surely, 2^344496240 is an apocalyptic number.

344496240 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 344496240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658886400).

344496240 is an abundant number, since it is smaller than the sum of its proper divisors (973276560).

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

344496240 is a wasteful number, since it uses less digits than its factorization.

344496240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 344496240 is about 18560.6099037720. The cubic root of 344496240 is about 701.0163738889.

The spelling of 344496240 in words is "three hundred forty-four million, four hundred ninety-six thousand, two hundred forty".