3826400 has 36 divisors (see below), whose sum is σ = 9343152. Its totient is φ = 1530240.

The previous prime is 3826399. The next prime is 3826409. The reversal of 3826400 is 46283.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3826409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1592 + ... + 3191.

It is an arithmetic number, because the mean of its divisors is an integer number (259532).

Almost surely, 2^3826400 is an apocalyptic number.

It is an amenable number.

3826400 is an abundant number, since it is smaller than the sum of its proper divisors (5516752).

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

3826400 is a wasteful number, since it uses less digits than its factorization.

3826400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4803 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3826400 is about 1956.1186058110. The cubic root of 3826400 is about 156.4096182188.

The spelling of 3826400 in words is "three million, eight hundred twenty-six thousand, four hundred".