3836258800 has 120 divisors (see below), whose sum is σ = 10112134032. Its totient is φ = 1387008000.

The previous prime is 3836258791. The next prime is 3836258801. The reversal of 3836258800 is 88526383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3836258801) 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, 793992 + ... + 798808.

Almost surely, 2^3836258800 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 3836258800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056067016).

3836258800 is an abundant number, since it is smaller than the sum of its proper divisors (6275875232).

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

3836258800 is a wasteful number, since it uses less digits than its factorization.

3836258800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The square root of 3836258800 is about 61937.5395055374. The cubic root of 3836258800 is about 1565.4383390410.

The spelling of 3836258800 in words is "three billion, eight hundred thirty-six million, two hundred fifty-eight thousand, eight hundred".