3729961584 has 120 divisors (see below), whose sum is σ = 10565434880. Its totient is φ = 1228328064.

The previous prime is 3729961553. The next prime is 3729961591. The reversal of 3729961584 is 4851699273.

3729961584 is a `hidden beast` number, since 37 + 29 + 9 + 6 + 1 + 584 = 666.

3729961584 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3729961584² = 27825226836231578112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3729961584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6144609 + ... + 6145215.

Almost surely, 2^3729961584 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 3729961584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282717440).

3729961584 is an abundant number, since it is smaller than the sum of its proper divisors (6835473296).

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

3729961584 is a wasteful number, since it uses less digits than its factorization.

3729961584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1058 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 3729961584 is about 61073.4114324720. The cubic root of 3729961584 is about 1550.8440195467.

The spelling of 3729961584 in words is "three billion, seven hundred twenty-nine million, nine hundred sixty-one thousand, five hundred eighty-four".