344786012820480 has 1408 divisors, whose sum is σ = 1429937772871680. Its totient is φ = 68824462786560.

The previous prime is 344786012820461. The next prime is 344786012820497. The reversal of 344786012820480 is 84028210687443.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a self number, because there is not a number n which added to its sum of digits gives 344786012820480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3457040694 + ... + 3457140426.

Almost surely, 2^{344786012820480} is an apocalyptic number.

344786012820480 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 344786012820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714968886435840).

344786012820480 is an abundant number, since it is smaller than the sum of its proper divisors (1085151760051200).

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

344786012820480 is a wasteful number, since it uses less digits than its factorization.

344786012820480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99895 (or 99877 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 57.

The spelling of 344786012820480 in words is "three hundred forty-four trillion, seven hundred eighty-six billion, twelve million, eight hundred twenty thousand, four hundred eighty".