3905163744 has 192 divisors, whose sum is σ = 11240570880. Its totient is φ = 1183311360.

The previous prime is 3905163709. The next prime is 3905163761. The reversal of 3905163744 is 4473615093.

It is a junction number, because it is equal to n+sod(n) for n = 3905163696 and 3905163705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4037949 + ... + 4038915.

It is an arithmetic number, because the mean of its divisors is an integer number (58544640).

Almost surely, 2^3905163744 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 3905163744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620285440).

3905163744 is an abundant number, since it is smaller than the sum of its proper divisors (7335407136).

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

3905163744 is a wasteful number, since it uses less digits than its factorization.

3905163744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 3905163744 is about 62491.3093477805. The cubic root of 3905163744 is about 1574.7553151760.

The spelling of 3905163744 in words is "three billion, nine hundred five million, one hundred sixty-three thousand, seven hundred forty-four".