3845100 has 72 divisors (see below), whose sum is σ = 12721408. Its totient is φ = 878400.

The previous prime is 3845057. The next prime is 3845113. The reversal of 3845100 is 15483.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1185 + ... + 3015.

Almost surely, 2^3845100 is an apocalyptic number.

3845100 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 3845100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360704).

3845100 is an abundant number, since it is smaller than the sum of its proper divisors (8876308).

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

3845100 is a wasteful number, since it uses less digits than its factorization.

3845100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 3845100 is about 1960.8926538697. The cubic root of 3845100 is about 156.6640007594.

The spelling of 3845100 in words is "three million, eight hundred forty-five thousand, one hundred".