3481820264 has 64 divisors (see below), whose sum is σ = 7208384400. Its totient is φ = 1566867456.

The previous prime is 3481820263. The next prime is 3481820299. The reversal of 3481820264 is 4620281843.

It can be written as a sum of positive squares in 8 ways, for example, as 873675364 + 2608144900 = 29558^2 + 51070^2 .

It is not an unprimeable number, because it can be changed into a prime (3481820261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 673112 + ... + 678264.

Almost surely, 2^3481820264 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 3481820264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604192200).

3481820264 is an abundant number, since it is smaller than the sum of its proper divisors (3726564136).

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

3481820264 is a wasteful number, since it uses less digits than its factorization.

3481820264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 3481820264 is about 59006.9509803718. The cubic root of 3481820264 is about 1515.6611410004.

The spelling of 3481820264 in words is "three billion, four hundred eighty-one million, eight hundred twenty thousand, two hundred sixty-four".