3482925264 has 320 divisors, whose sum is σ = 12954726400. Its totient is φ = 870041088.

The previous prime is 3482925239. The next prime is 3482925289. The reversal of 3482925264 is 4625292843.

3482925264 is a `hidden beast` number, since 34 + 8 + 2 + 92 + 526 + 4 = 666.

3482925264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3482925239) and next prime (3482925289).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 744597 + ... + 749259.

It is an arithmetic number, because the mean of its divisors is an integer number (40483520).

Almost surely, 2^3482925264 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 3482925264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6477363200).

3482925264 is an abundant number, since it is smaller than the sum of its proper divisors (9471801136).

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

3482925264 is a wasteful number, since it uses less digits than its factorization.

3482925264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4719 (or 4707 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 3482925264 is about 59016.3135412574. The cubic root of 3482925264 is about 1515.8214621630.

The spelling of 3482925264 in words is "three billion, four hundred eighty-two million, nine hundred twenty-five thousand, two hundred sixty-four".