3416712264 has 96 divisors (see below), whose sum is σ = 10703085120. Its totient is φ = 964430208.

The previous prime is 3416712253. The next prime is 3416712287. The reversal of 3416712264 is 4622176143.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 994 + ... + 82670.

It is an arithmetic number, because the mean of its divisors is an integer number (111490470).

Almost surely, 2^3416712264 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 3416712264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5351542560).

3416712264 is an abundant number, since it is smaller than the sum of its proper divisors (7286372856).

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

3416712264 is a wasteful number, since it uses less digits than its factorization.

3416712264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81779 (or 81772 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3416712264 is about 58452.6497602974. The cubic root of 3416712264 is about 1506.1543097811.

The spelling of 3416712264 in words is "three billion, four hundred sixteen million, seven hundred twelve thousand, two hundred sixty-four".