3416235264 has 720 divisors, whose sum is σ = 12465129600. Its totient is φ = 919683072.

The previous prime is 3416235259. The next prime is 3416235307. The reversal of 3416235264 is 4625326143.

3416235264 is a `hidden beast` number, since 3 + 4 + 1 + 623 + 5 + 26 + 4 = 666.

3416235264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 117801202 + ... + 117801230.

It is an arithmetic number, because the mean of its divisors is an integer number (17312680).

Almost surely, 2^3416235264 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 3416235264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6232564800).

3416235264 is an abundant number, since it is smaller than the sum of its proper divisors (9048894336).

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

3416235264 is a wasteful number, since it uses less digits than its factorization.

3416235264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 3416235264 is about 58448.5693922443. The cubic root of 3416235264 is about 1506.0842161759.

The spelling of 3416235264 in words is "three billion, four hundred sixteen million, two hundred thirty-five thousand, two hundred sixty-four".