3417968736 has 432 divisors, whose sum is σ = 12590218368. Its totient is φ = 870912000.

The previous prime is 3417968713. The next prime is 3417968759. The reversal of 3417968736 is 6378697143.

It is an interprime number because it is at equal distance from previous prime (3417968713) and next prime (3417968759).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5686836 + ... + 5687436.

It is an arithmetic number, because the mean of its divisors is an integer number (29144024).

Almost surely, 2^3417968736 is an apocalyptic number.

3417968736 is a gapful number since it is divisible by the number (36) 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 3417968736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6295109184).

3417968736 is an abundant number, since it is smaller than the sum of its proper divisors (9172249632).

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

3417968736 is a wasteful number, since it uses less digits than its factorization.

3417968736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 657 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 3417968736 is about 58463.3965486098. The cubic root of 3417968736 is about 1506.3389130529.

The spelling of 3417968736 in words is "three billion, four hundred seventeen million, nine hundred sixty-eight thousand, seven hundred thirty-six".