3483315264 has 224 divisors, whose sum is σ = 10889553024. Its totient is φ = 968785920.

The previous prime is 3483315259. The next prime is 3483315271. The reversal of 3483315264 is 4625133843.

3483315264 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 (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8044392 + ... + 8044824.

It is an arithmetic number, because the mean of its divisors is an integer number (48614076).

Almost surely, 2^3483315264 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 3483315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444776512).

3483315264 is an abundant number, since it is smaller than the sum of its proper divisors (7406237760).

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

3483315264 is a wasteful number, since it uses less digits than its factorization.

3483315264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 755 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 3483315264 is about 59019.6176199067. The cubic root of 3483315264 is about 1515.8780380067.

The spelling of 3483315264 in words is "three billion, four hundred eighty-three million, three hundred fifteen thousand, two hundred sixty-four".