3415289856 has 156 divisors (see below), whose sum is σ = 10013792376. Its totient is φ = 1034485760.

The previous prime is 3415289831. The next prime is 3415289861. The reversal of 3415289856 is 6589825143.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3415289799 and 3415289808.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1485700 + ... + 1487996.

Almost surely, 2^3415289856 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 3415289856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006896188).

3415289856 is an abundant number, since it is smaller than the sum of its proper divisors (6598502520).

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

3415289856 is a wasteful number, since it uses less digits than its factorization.

3415289856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2313 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The square root of 3415289856 is about 58440.4813121863. The cubic root of 3415289856 is about 1505.9452722485.

The spelling of 3415289856 in words is "three billion, four hundred fifteen million, two hundred eighty-nine thousand, eight hundred fifty-six".