3340680505344 has 576 divisors, whose sum is σ = 12099455222400. Its totient is φ = 864411844608.

The previous prime is 3340680505333. The next prime is 3340680505361. The reversal of 3340680505344 is 4435050860433.

3340680505344 is a `hidden beast` number, since 3 + 3 + 4 + 0 + 68 + 0 + 50 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3340680505344² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3340680505344.

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, 88878747 + ... + 88916325.

It is an arithmetic number, because the mean of its divisors is an integer number (21005998650).

Almost surely, 2^{3340680505344} 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 3340680505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049727611200).

3340680505344 is an abundant number, since it is smaller than the sum of its proper divisors (8758774717056).

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

3340680505344 is a wasteful number, since it uses less digits than its factorization.

3340680505344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37680 (or 37657 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 3340680505344 in words is "three trillion, three hundred forty billion, six hundred eighty million, five hundred five thousand, three hundred forty-four".