34490616614784 has 672 divisors, whose sum is σ = 113443885915920. Its totient is φ = 10432654848000.

The previous prime is 34490616614737. The next prime is 34490616614809. The reversal of 34490616614784 is 48741661609443.

34490616614784 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 0 + 6 + 1 + 6 + 614 + 7 + 8 + 4 = 666.

It is a super-2 number, since 2×34490616614784² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6966391509 + ... + 6966396459.

Almost surely, 2^{34490616614784} 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 34490616614784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56721942957960).

34490616614784 is an abundant number, since it is smaller than the sum of its proper divisors (78953269301136).

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

34490616614784 is an equidigital number, since it uses as much as digits as its factorization.

34490616614784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5622 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 34490616614784 in words is "thirty-four trillion, four hundred ninety billion, six hundred sixteen million, six hundred fourteen thousand, seven hundred eighty-four".