3417329664 has 624 divisors, whose sum is σ = 12880183680. Its totient is φ = 849346560.

The previous prime is 3417329651. The next prime is 3417329693. The reversal of 3417329664 is 4669237143.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83349484 + ... + 83349524.

It is an arithmetic number, because the mean of its divisors is an integer number (20641320).

Almost surely, 2^3417329664 is an apocalyptic number.

3417329664 is a gapful number since it is divisible by the number (34) 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 3417329664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6440091840).

3417329664 is an abundant number, since it is smaller than the sum of its proper divisors (9462854016).

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

3417329664 is a wasteful number, since it uses less digits than its factorization.

3417329664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 3417329664 is about 58457.9307194499. The cubic root of 3417329664 is about 1506.2450250256.

The spelling of 3417329664 in words is "three billion, four hundred seventeen million, three hundred twenty-nine thousand, six hundred sixty-four".