3795661738560 has 224 divisors, whose sum is σ = 12212643445632. Its totient is φ = 998651576320.

The previous prime is 3795661738553. The next prime is 3795661738591. The reversal of 3795661738560 is 658371665973.

3795661738560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3795661738491 and 3795661738500.

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, 60605182 + ... + 60667778.

It is an arithmetic number, because the mean of its divisors is an integer number (54520729668).

Almost surely, 2^{3795661738560} is an apocalyptic number.

3795661738560 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 3795661738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106321722816).

3795661738560 is an abundant number, since it is smaller than the sum of its proper divisors (8416981707072).

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

3795661738560 is a wasteful number, since it uses less digits than its factorization.

3795661738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63461 (or 63451 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 66.

The spelling of 3795661738560 in words is "three trillion, seven hundred ninety-five billion, six hundred sixty-one million, seven hundred thirty-eight thousand, five hundred sixty".