3417113376 has 144 divisors (see below), whose sum is σ = 9873864000. Its totient is φ = 1120863744.

The previous prime is 3417113369. The next prime is 3417113411. The reversal of 3417113376 is 6733117143.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3417113376.

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 23 ways as a sum of consecutive naturals, for example, 6246735 + ... + 6247281.

It is an arithmetic number, because the mean of its divisors is an integer number (68568500).

Almost surely, 2^3417113376 is an apocalyptic number.

3417113376 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 3417113376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4936932000).

3417113376 is an abundant number, since it is smaller than the sum of its proper divisors (6456750624).

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

3417113376 is a wasteful number, since it uses less digits than its factorization.

3417113376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 860 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 3417113376 is about 58456.0807444358. The cubic root of 3417113376 is about 1506.2132468411.

The spelling of 3417113376 in words is "three billion, four hundred seventeen million, one hundred thirteen thousand, three hundred seventy-six".