3840495960 has 256 divisors, whose sum is σ = 13611110400. Its totient is φ = 848719872.

The previous prime is 3840495941. The next prime is 3840495961. The reversal of 3840495960 is 695940483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840495961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3513174 + ... + 3514266.

It is an arithmetic number, because the mean of its divisors is an integer number (53168400).

Almost surely, 2^3840495960 is an apocalyptic number.

3840495960 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 3840495960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6805555200).

3840495960 is an abundant number, since it is smaller than the sum of its proper divisors (9770614440).

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

3840495960 is a wasteful number, since it uses less digits than its factorization.

3840495960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 3840495960 is about 61971.7351701564. The cubic root of 3840495960 is about 1566.0144708485.

The spelling of 3840495960 in words is "three billion, eight hundred forty million, four hundred ninety-five thousand, nine hundred sixty".