3481586724 has 144 divisors (see below), whose sum is σ = 10330435584. Its totient is φ = 893196480.

The previous prime is 3481586699. The next prime is 3481586741. The reversal of 3481586724 is 4276851843.

It is a super-2 number, since 2×3481586724² = 24242892233466104352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 841549 + ... + 845675.

It is an arithmetic number, because the mean of its divisors is an integer number (71739136).

Almost surely, 2^3481586724 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 3481586724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5165217792).

3481586724 is an abundant number, since it is smaller than the sum of its proper divisors (6848848860).

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

3481586724 is a wasteful number, since it uses less digits than its factorization.

3481586724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 4233 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 3481586724 is about 59004.9720277876. The cubic root of 3481586724 is about 1515.6272530347.

The spelling of 3481586724 in words is "three billion, four hundred eighty-one million, five hundred eighty-six thousand, seven hundred twenty-four".