3925661760 has 560 divisors, whose sum is σ = 15135880320. Its totient is φ = 962150400.

The previous prime is 3925661731. The next prime is 3925661791. The reversal of 3925661760 is 671665293.

3925661760 is a `hidden beast` number, since 3 + 9 + 25 + 6 + 617 + 6 + 0 = 666.

3925661760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25997685 + ... + 25997835.

Almost surely, 2^3925661760 is an apocalyptic number.

3925661760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3925661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7567940160).

3925661760 is an abundant number, since it is smaller than the sum of its proper divisors (11210218560).

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

3925661760 is a wasteful number, since it uses less digits than its factorization.

3925661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3925661760 is about 62655.1016278802. The cubic root of 3925661760 is about 1577.5057799690.

The spelling of 3925661760 in words is "three billion, nine hundred twenty-five million, six hundred sixty-one thousand, seven hundred sixty".