3812896 has 48 divisors (see below), whose sum is σ = 8182944. Its totient is φ = 1741824.

The previous prime is 3812843. The next prime is 3812899. The reversal of 3812896 is 6982183.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3812899) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23311 + ... + 23473.

It is an arithmetic number, because the mean of its divisors is an integer number (170478).

Almost surely, 2^3812896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3812896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091472).

3812896 is an abundant number, since it is smaller than the sum of its proper divisors (4370048).

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

3812896 is a wasteful number, since it uses less digits than its factorization.

3812896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 225 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 3812896 is about 1952.6638215525. The cubic root of 3812896 is about 156.2254028481.

The spelling of 3812896 in words is "three million, eight hundred twelve thousand, eight hundred ninety-six".