3415748864 has 72 divisors (see below), whose sum is σ = 7829582880. Its totient is φ = 1470873600.

The previous prime is 3415748839. The next prime is 3415748867. The reversal of 3415748864 is 4688475143.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3415748867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21584 + ... + 85424.

Almost surely, 2^3415748864 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 3415748864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914791440).

3415748864 is an abundant number, since it is smaller than the sum of its proper divisors (4413834016).

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

3415748864 is a wasteful number, since it uses less digits than its factorization.

3415748864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63887 (or 63873 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 50.

The square root of 3415748864 is about 58444.4083210704. The cubic root of 3415748864 is about 1506.0127345520.

The spelling of 3415748864 in words is "three billion, four hundred fifteen million, seven hundred forty-eight thousand, eight hundred sixty-four".