3481382772 has 90 divisors (see below), whose sum is σ = 10266499698. Its totient is φ = 994656096.

The previous prime is 3481382743. The next prime is 3481382777. The reversal of 3481382772 is 2772831843.

3481382772 is a `hidden beast` number, since 348 + 1 + 38 + 277 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3422952036 + 58430736 = 58506^2 + 7644^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481382777) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 66298 + ... + 106574.

Almost surely, 2^3481382772 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 3481382772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5133249849).

3481382772 is an abundant number, since it is smaller than the sum of its proper divisors (6785116926).

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

3481382772 is a wasteful number, since it uses less digits than its factorization.

3481382772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40315 (or 40289 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 3481382772 is about 59003.2437413402. The cubic root of 3481382772 is about 1515.5976572143.

The spelling of 3481382772 in words is "three billion, four hundred eighty-one million, three hundred eighty-two thousand, seven hundred seventy-two".