3795579648 has 360 divisors, whose sum is σ = 13137850880. Its totient is φ = 1067489280.

The previous prime is 3795579629. The next prime is 3795579737. The reversal of 3795579648 is 8469755973.

3795579648 is a `hidden beast` number, since 3 + 79 + 557 + 9 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11466843 + ... + 11467173.

Almost surely, 2^3795579648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3795579648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6568925440).

3795579648 is an abundant number, since it is smaller than the sum of its proper divisors (9342271232).

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

3795579648 is an equidigital number, since it uses as much as digits as its factorization.

3795579648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 422 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 63.

The square root of 3795579648 is about 61608.2758077192. The cubic root of 3795579648 is about 1559.8854353737.

The spelling of 3795579648 in words is "three billion, seven hundred ninety-five million, five hundred seventy-nine thousand, six hundred forty-eight".