3795876864000 has 1792 divisors, whose sum is σ = 15457163904000. Its totient is φ = 913401446400.

The previous prime is 3795876863971. The next prime is 3795876864007. The reversal of 3795876864000 is 4686785973.

3795876864000 is a `hidden beast` number, since 3 + 7 + 9 + 587 + 6 + 8 + 6 + 40 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3795876864007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21206015911 + ... + 21206016089.

It is an arithmetic number, because the mean of its divisors is an integer number (8625649500).

Almost surely, 2^{3795876864000} is an apocalyptic number.

3795876864000 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 3795876864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7728581952000).

3795876864000 is an abundant number, since it is smaller than the sum of its proper divisors (11661287040000).

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

3795876864000 is a wasteful number, since it uses less digits than its factorization.

3795876864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 3795876864000 in words is "three trillion, seven hundred ninety-five billion, eight hundred seventy-six million, eight hundred sixty-four thousand".