3416613908480 has 416 divisors, whose sum is σ = 8528733933120. Its totient is φ = 1313184153600.

The previous prime is 3416613908471. The next prime is 3416613908527. The reversal of 3416613908480 is 848093166143.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12334346102 + ... + 12334346378.

Almost surely, 2^{3416613908480} 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 3416613908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264366966560).

3416613908480 is an abundant number, since it is smaller than the sum of its proper divisors (5112120024640).

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

3416613908480 is a wasteful number, since it uses less digits than its factorization.

3416613908480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 53.

The spelling of 3416613908480 in words is "three trillion, four hundred sixteen billion, six hundred thirteen million, nine hundred eight thousand, four hundred eighty".