3415864160 has 96 divisors (see below), whose sum is σ = 8315848800. Its totient is φ = 1325117440.

The previous prime is 3415864141. The next prime is 3415864189. The reversal of 3415864160 is 614685143.

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, 1172786 + ... + 1175694.

It is an arithmetic number, because the mean of its divisors is an integer number (86623425).

Almost surely, 2^3415864160 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 3415864160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157924400).

3415864160 is an abundant number, since it is smaller than the sum of its proper divisors (4899984640).

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

3415864160 is a wasteful number, since it uses less digits than its factorization.

3415864160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 3415864160 is about 58445.3946859802. The cubic root of 3415864160 is about 1506.0296791321.

The spelling of 3415864160 in words is "three billion, four hundred fifteen million, eight hundred sixty-four thousand, one hundred sixty".