3481588704 has 96 divisors (see below), whose sum is σ = 10239578496. Its totient is φ = 1026501120.

The previous prime is 3481588673. The next prime is 3481588711. The reversal of 3481588704 is 4078851843.

3481588704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5482 + ... + 83625.

It is an arithmetic number, because the mean of its divisors is an integer number (106662276).

Almost surely, 2^3481588704 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 3481588704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119789248).

3481588704 is an abundant number, since it is smaller than the sum of its proper divisors (6757989792).

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

3481588704 is a wasteful number, since it uses less digits than its factorization.

3481588704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89168 (or 89160 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 3481588704 is about 59004.9888060323. The cubic root of 3481588704 is about 1515.6275403502.

The spelling of 3481588704 in words is "three billion, four hundred eighty-one million, five hundred eighty-eight thousand, seven hundred four".