3827376 has 60 divisors (see below), whose sum is σ = 12244752. Its totient is φ = 1093248.

The previous prime is 3827357. The next prime is 3827381. The reversal of 3827376 is 6737283.

3827376 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3827376.

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 11 ways as a sum of consecutive naturals, for example, 891 + ... + 2906.

Almost surely, 2^3827376 is an apocalyptic number.

3827376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3827376 is an abundant number, since it is smaller than the sum of its proper divisors (8417376).

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

3827376 is a wasteful number, since it uses less digits than its factorization.

3827376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3818 (or 3809 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 3827376 is about 1956.3680635300. The cubic root of 3827376 is about 156.4229155574.

The spelling of 3827376 in words is "three million, eight hundred twenty-seven thousand, three hundred seventy-six".