3417828864 has 160 divisors (see below), whose sum is σ = 9475107840. Its totient is φ = 1093632000.

The previous prime is 3417828779. The next prime is 3417828871. The reversal of 3417828864 is 4688287143.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8523064 + ... + 8523464.

It is an arithmetic number, because the mean of its divisors is an integer number (59219424).

Almost surely, 2^3417828864 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 3417828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737553920).

3417828864 is an abundant number, since it is smaller than the sum of its proper divisors (6057278976).

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

3417828864 is a wasteful number, since it uses less digits than its factorization.

3417828864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 616 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The square root of 3417828864 is about 58462.2003007071. The cubic root of 3417828864 is about 1506.3183650289.

The spelling of 3417828864 in words is "three billion, four hundred seventeen million, eight hundred twenty-eight thousand, eight hundred sixty-four".