344968624 has 240 divisors, whose sum is σ = 972500256. Its totient is φ = 116121600.

The previous prime is 344968619. The next prime is 344968639. The reversal of 344968624 is 426869443.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1905814 + ... + 1905994.

Almost surely, 2^344968624 is an apocalyptic number.

344968624 is a gapful number since it is divisible by the number (34) 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 344968624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486250128).

344968624 is an abundant number, since it is smaller than the sum of its proper divisors (627531632).

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

344968624 is a wasteful number, since it uses less digits than its factorization.

344968624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its digits is 995328, while the sum is 46.

The square root of 344968624 is about 18573.3309882746. The cubic root of 344968624 is about 701.3366460573.

It can be divided in two parts, 34496 and 8624, that multiplied together give a square (297493504 = 17248²).

The spelling of 344968624 in words is "three hundred forty-four million, nine hundred sixty-eight thousand, six hundred twenty-four".