3855895200 has 216 divisors, whose sum is σ = 13770993600. Its totient is φ = 1015073280.

The previous prime is 3855895189. The next prime is 3855895223. The reversal of 3855895200 is 25985583.

3855895200 is a `hidden beast` number, since 3 + 8 + 558 + 95 + 2 + 0 + 0 = 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 565411 + ... + 572189.

It is an arithmetic number, because the mean of its divisors is an integer number (63754600).

Almost surely, 2^3855895200 is an apocalyptic number.

3855895200 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 3855895200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6885496800).

3855895200 is an abundant number, since it is smaller than the sum of its proper divisors (9915098400).

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

3855895200 is a wasteful number, since it uses less digits than its factorization.

3855895200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6884 (or 6868 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 3855895200 is about 62095.8549341258. The cubic root of 3855895200 is about 1568.1047627143.

The spelling of 3855895200 in words is "three billion, eight hundred fifty-five million, eight hundred ninety-five thousand, two hundred".