3795906048000 has 1664 divisors, whose sum is σ = 14602448240640. Its totient is φ = 867041280000.

The previous prime is 3795906047959. The next prime is 3795906048007. The reversal of 3795906048000 is 8406095973.

It is not an unprimeable number, because it can be changed into a prime (3795906048007) 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, 29889023937 + ... + 29889024063.

It is an arithmetic number, because the mean of its divisors is an integer number (8775509760).

Almost surely, 2^{3795906048000} is an apocalyptic number.

3795906048000 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 3795906048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7301224120320).

3795906048000 is an abundant number, since it is smaller than the sum of its proper divisors (10806542192640).

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

3795906048000 is a wasteful number, since it uses less digits than its factorization.

3795906048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 3795906048000 in words is "three trillion, seven hundred ninety-five billion, nine hundred six million, forty-eight thousand".