3813648 has 20 divisors (see below), whose sum is σ = 9852048. Its totient is φ = 1271200.

The previous prime is 3813647. The next prime is 3813673. The reversal of 3813648 is 8463183.

It is a super-2 number, since 2×3813648² = 29087822135808, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3813643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39678 + ... + 39773.

Almost surely, 2^3813648 is an apocalyptic number.

It is an amenable number.

3813648 is an abundant number, since it is smaller than the sum of its proper divisors (6038400).

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

3813648 is a wasteful number, since it uses less digits than its factorization.

3813648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79462 (or 79456 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 3813648 is about 1952.8563695264. The cubic root of 3813648 is about 156.2356727130.

The spelling of 3813648 in words is "three million, eight hundred thirteen thousand, six hundred forty-eight".