3836851200 has 1056 divisors, whose sum is σ = 17625816320. Its totient is φ = 796262400.

The previous prime is 3836851169. The next prime is 3836851201. The reversal of 3836851200 is 21586383.

3836851200 is a `hidden beast` number, since 3 + 83 + 68 + 512 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3836851201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62899170 + ... + 62899230.

Almost surely, 2^3836851200 is an apocalyptic number.

3836851200 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 3836851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812908160).

3836851200 is an abundant number, since it is smaller than the sum of its proper divisors (13788965120).

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

3836851200 is a wasteful number, since it uses less digits than its factorization.

3836851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3836851200 is about 61942.3215580430. The cubic root of 3836851200 is about 1565.5189138918.

The spelling of 3836851200 in words is "three billion, eight hundred thirty-six million, eight hundred fifty-one thousand, two hundred".