3878496 has 72 divisors (see below), whose sum is σ = 11483640. Its totient is φ = 1273536.

The previous prime is 3878491. The next prime is 3878519. The reversal of 3878496 is 6948783.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3878496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (290304) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3878491) 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, 57855 + ... + 57921.

It is an arithmetic number, because the mean of its divisors is an integer number (159495).

Almost surely, 2^3878496 is an apocalyptic number.

3878496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3878496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5741820).

3878496 is an abundant number, since it is smaller than the sum of its proper divisors (7605144).

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

3878496 is an equidigital number, since it uses as much as digits as its factorization.

3878496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 72 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3878496 is about 1969.3897531977. The cubic root of 3878496 is about 157.1162539774.

The spelling of 3878496 in words is "three million, eight hundred seventy-eight thousand, four hundred ninety-six".