3481132704 has 192 divisors, whose sum is σ = 11098467072. Its totient is φ = 932659200.

The previous prime is 3481132667. The next prime is 3481132741. The reversal of 3481132704 is 4072311843.

It is an interprime number because it is at equal distance from previous prime (3481132667) and next prime (3481132741).

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, 5266134 + ... + 5266794.

It is an arithmetic number, because the mean of its divisors is an integer number (57804516).

Almost surely, 2^3481132704 is an apocalyptic number.

3481132704 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3481132704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5549233536).

3481132704 is an abundant number, since it is smaller than the sum of its proper divisors (7617334368).

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

3481132704 is a wasteful number, since it uses less digits than its factorization.

3481132704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 3481132704 is about 59001.1245994515. The cubic root of 3481132704 is about 1515.5613678455.

The spelling of 3481132704 in words is "three billion, four hundred eighty-one million, one hundred thirty-two thousand, seven hundred four".