3858100 has 36 divisors (see below), whose sum is σ = 8585388. Its totient is φ = 1504000.

The previous prime is 3858091. The next prime is 3858103. The reversal of 3858100 is 18583.

It can be written as a sum of positive squares in 6 ways, for example, as 487204 + 3370896 = 698^2 + 1836^2 .

It is a super-2 number, since 2×3858100² = 29769871220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3858103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3630 + ... + 4570.

It is an arithmetic number, because the mean of its divisors is an integer number (238483).

Almost surely, 2^3858100 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 3858100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292694).

3858100 is an abundant number, since it is smaller than the sum of its proper divisors (4727288).

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

3858100 is a wasteful number, since it uses less digits than its factorization.

3858100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 3858100 is about 1964.2046736529. The cubic root of 3858100 is about 156.8403586415.

The spelling of 3858100 in words is "three million, eight hundred fifty-eight thousand, one hundred".