3895767960 has 256 divisors, whose sum is σ = 13790269440. Its totient is φ = 862003200.

The previous prime is 3895767949. The next prime is 3895767979. The reversal of 3895767960 is 697675983.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3895767894 and 3895767903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3986992 + ... + 3987968.

It is an arithmetic number, because the mean of its divisors is an integer number (53868240).

Almost surely, 2^3895767960 is an apocalyptic number.

3895767960 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 3895767960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6895134720).

3895767960 is an abundant number, since it is smaller than the sum of its proper divisors (9894501480).

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

3895767960 is a wasteful number, since it uses less digits than its factorization.

3895767960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 60.

The square root of 3895767960 is about 62416.0873493365. The cubic root of 3895767960 is about 1573.4913525493.

The spelling of 3895767960 in words is "three billion, eight hundred ninety-five million, seven hundred sixty-seven thousand, nine hundred sixty".