3812855200 has 432 divisors, whose sum is σ = 12418080192. Its totient is φ = 1115136000.

The previous prime is 3812855161. The next prime is 3812855201. The reversal of 3812855200 is 25582183.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (3812855201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11519035 + ... + 11519365.

It is an arithmetic number, because the mean of its divisors is an integer number (28745556).

Almost surely, 2^3812855200 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 3812855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209040096).

3812855200 is an abundant number, since it is smaller than the sum of its proper divisors (8605224992).

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

3812855200 is a wasteful number, since it uses less digits than its factorization.

3812855200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 3812855200 is about 61748.3214346755. The cubic root of 3812855200 is about 1562.2484561466.

The spelling of 3812855200 in words is "three billion, eight hundred twelve million, eight hundred fifty-five thousand, two hundred".