3725123584 has 224 divisors, whose sum is σ = 9688250880. Its totient is φ = 1390804992.

The previous prime is 3725123557. The next prime is 3725123617. The reversal of 3725123584 is 4853215273.

It is a tau number, because it is divible by the number of its divisors (224).

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, 14163837 + ... + 14164099.

It is an arithmetic number, because the mean of its divisors is an integer number (43251120).

Almost surely, 2^3725123584 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 3725123584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4844125440).

3725123584 is an abundant number, since it is smaller than the sum of its proper divisors (5963127296).

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

3725123584 is a wasteful number, since it uses less digits than its factorization.

3725123584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 304 counting only the distinct ones).

The product of its digits is 201600, while the sum is 40.

The square root of 3725123584 is about 61033.7905098479. The cubic root of 3725123584 is about 1550.1732146347.

The spelling of 3725123584 in words is "three billion, seven hundred twenty-five million, one hundred twenty-three thousand, five hundred eighty-four".