344325319680 has 176 divisors, whose sum is σ = 1102036741344. Its totient is φ = 91758919680.

The previous prime is 344325319669. The next prime is 344325319703. The reversal of 344325319680 is 86913523443.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 25997860 + ... + 26011100.

It is an arithmetic number, because the mean of its divisors is an integer number (6261572394).

Almost surely, 2^344325319680 is an apocalyptic number.

344325319680 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 344325319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551018370672).

344325319680 is an abundant number, since it is smaller than the sum of its proper divisors (757711421664).

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

344325319680 is a wasteful number, since it uses less digits than its factorization.

344325319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14962 (or 14944 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 344325319680 in words is "three hundred forty-four billion, three hundred twenty-five million, three hundred nineteen thousand, six hundred eighty".