3826900 has 108 divisors (see below), whose sum is σ = 10686816. Its totient is φ = 1176000.

The previous prime is 3826897. The next prime is 3826931. The reversal of 3826900 is 96283.

3826900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3826900² = 29290327220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53865 + ... + 53935.

It is an arithmetic number, because the mean of its divisors is an integer number (98952).

Almost surely, 2^3826900 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 3826900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343408).

3826900 is an abundant number, since it is smaller than the sum of its proper divisors (6859916).

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

3826900 is a wasteful number, since it uses less digits than its factorization.

3826900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 3826900 is about 1956.2464057475. The cubic root of 3826900 is about 156.4164306624.

The spelling of 3826900 in words is "three million, eight hundred twenty-six thousand, nine hundred".