3830090236560 has 960 divisors, whose sum is σ = 15895973164032. Its totient is φ = 806505283584.

The previous prime is 3830090236529. The next prime is 3830090236571. The reversal of 3830090236560 is 656320900383.

3830090236560 is a `hidden beast` number, since 3 + 83 + 0 + 0 + 9 + 0 + 2 + 3 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2801820997 + ... + 2801822363.

Almost surely, 2^{3830090236560} is an apocalyptic number.

3830090236560 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 3830090236560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947986582016).

3830090236560 is an abundant number, since it is smaller than the sum of its proper divisors (12065882927472).

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

3830090236560 is a wasteful number, since it uses less digits than its factorization.

3830090236560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 3830090236560 in words is "three trillion, eight hundred thirty billion, ninety million, two hundred thirty-six thousand, five hundred sixty".