3417879752 has 64 divisors (see below), whose sum is σ = 7866960000. Its totient is φ = 1387689408.

The previous prime is 3417879743. The next prime is 3417879763. The reversal of 3417879752 is 2579787143.

3417879752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3417879694 and 3417879703.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19358 + ... + 84914.

It is an arithmetic number, because the mean of its divisors is an integer number (122921250).

Almost surely, 2^3417879752 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 3417879752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933480000).

3417879752 is an abundant number, since it is smaller than the sum of its proper divisors (4449080248).

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

3417879752 is a wasteful number, since it uses less digits than its factorization.

3417879752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65603 (or 65585 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 53.

The square root of 3417879752 is about 58462.6355204758. The cubic root of 3417879752 is about 1506.3258408419.

The spelling of 3417879752 in words is "three billion, four hundred seventeen million, eight hundred seventy-nine thousand, seven hundred fifty-two".