3961896960 has 480 divisors, whose sum is σ = 15099033600. Its totient is φ = 886308864.

The previous prime is 3961896959. The next prime is 3961896979. The reversal of 3961896960 is 696981693.

It is a tau number, because it is divible by the number of its divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 3961896960.

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, 84295657 + ... + 84295703.

It is an arithmetic number, because the mean of its divisors is an integer number (31456320).

Almost surely, 2^3961896960 is an apocalyptic number.

3961896960 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 3961896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7549516800).

3961896960 is an abundant number, since it is smaller than the sum of its proper divisors (11137136640).

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

3961896960 is an frugal number, since it uses more digits than its factorization.

3961896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 57.

The square root of 3961896960 is about 62943.6014222256. The cubic root of 3961896960 is about 1582.3445616990.

The spelling of 3961896960 in words is "three billion, nine hundred sixty-one million, eight hundred ninety-six thousand, nine hundred sixty".