3819456 has 84 divisors (see below), whose sum is σ = 11557000. Its totient is φ = 1202688.

The previous prime is 3819421. The next prime is 3819461. The reversal of 3819456 is 6549183.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3819456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10770 + ... + 11118.

Almost surely, 2^3819456 is an apocalyptic number.

3819456 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 3819456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778500).

3819456 is an abundant number, since it is smaller than the sum of its proper divisors (7737544).

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

3819456 is a wasteful number, since it uses less digits than its factorization.

3819456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 373 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 3819456 is about 1954.3428563075. The cubic root of 3819456 is about 156.3149455882.

The spelling of 3819456 in words is "three million, eight hundred nineteen thousand, four hundred fifty-six".