3850856100 has 432 divisors, whose sum is σ = 15515673600. Its totient is φ = 812125440.

The previous prime is 3850856047. The next prime is 3850856111. The reversal of 3850856100 is 16580583.

3850856100 is a `hidden beast` number, since 38 + 5 + 0 + 8 + 5 + 610 + 0 = 666.

3850856100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1718781 + ... + 1721019.

Almost surely, 2^3850856100 is an apocalyptic number.

3850856100 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 3850856100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7757836800).

3850856100 is an abundant number, since it is smaller than the sum of its proper divisors (11664817500).

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

3850856100 is a wasteful number, since it uses less digits than its factorization.

3850856100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 3850856100 is about 62055.2664968897. The cubic root of 3850856100 is about 1567.4213691928.

The spelling of 3850856100 in words is "three billion, eight hundred fifty million, eight hundred fifty-six thousand, one hundred".