3725956960 has 192 divisors, whose sum is σ = 10130448384. Its totient is φ = 1282406400.

The previous prime is 3725956841. The next prime is 3725956961. The reversal of 3725956960 is 696595273.

3725956960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3725956898 and 3725956907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3725956961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2563594 + ... + 2565046.

It is an arithmetic number, because the mean of its divisors is an integer number (52762752).

Almost surely, 2^3725956960 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 3725956960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5065224192).

3725956960 is an abundant number, since it is smaller than the sum of its proper divisors (6404491424).

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

3725956960 is a wasteful number, since it uses less digits than its factorization.

3725956960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 52.

The square root of 3725956960 is about 61040.6172970097. The cubic root of 3725956960 is about 1550.2888063994.

The spelling of 3725956960 in words is "three billion, seven hundred twenty-five million, nine hundred fifty-six thousand, nine hundred sixty".