3857100 has 144 divisors (see below), whose sum is σ = 12832512. Its totient is φ = 887040.

The previous prime is 3857081. The next prime is 3857107. The reversal of 3857100 is 17583.

It is not an unprimeable number, because it can be changed into a prime (3857107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89679 + ... + 89721.

Almost surely, 2^3857100 is an apocalyptic number.

3857100 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 3857100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6416256).

3857100 is an abundant number, since it is smaller than the sum of its proper divisors (8975412).

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

3857100 is a wasteful number, since it uses less digits than its factorization.

3857100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 3857100 is about 1963.9501011991. The cubic root of 3857100 is about 156.8268067281.

The spelling of 3857100 in words is "three million, eight hundred fifty-seven thousand, one hundred".