3836580800 has 168 divisors, whose sum is σ = 10322058096. Its totient is φ = 1394933760.

The previous prime is 3836580793. The next prime is 3836580809. The reversal of 3836580800 is 80856383.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3836580809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1392224 + ... + 1394976.

It is an arithmetic number, because the mean of its divisors is an integer number (61440822).

Almost surely, 2^3836580800 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 3836580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161029048).

3836580800 is an abundant number, since it is smaller than the sum of its proper divisors (6485477296).

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

3836580800 is a wasteful number, since it uses less digits than its factorization.

3836580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 3836580800 is about 61940.1388438870. The cubic root of 3836580800 is about 1565.4821366634.

The spelling of 3836580800 in words is "three billion, eight hundred thirty-six million, five hundred eighty thousand, eight hundred".