3827400 has 48 divisors (see below), whose sum is σ = 11866800. Its totient is φ = 1020480.

The previous prime is 3827393. The next prime is 3827401. The reversal of 3827400 is 47283.

3827400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3827401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2590 + ... + 3789.

It is an arithmetic number, because the mean of its divisors is an integer number (247225).

Almost surely, 2^3827400 is an apocalyptic number.

3827400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3827400 is an abundant number, since it is smaller than the sum of its proper divisors (8039400).

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

3827400 is a wasteful number, since it uses less digits than its factorization.

3827400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6398 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3827400 is about 1956.3741973355. The cubic root of 3827400 is about 156.4232425127.

The spelling of 3827400 in words is "three million, eight hundred twenty-seven thousand, four hundred".