4036896 has 72 divisors (see below), whose sum is σ = 11675664. Its totient is φ = 1322880.

The previous prime is 4036889. The next prime is 4036909. The reversal of 4036896 is 6986304.

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

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 4036896.

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, 30751 + ... + 30881.

It is an arithmetic number, because the mean of its divisors is an integer number (162162).

Almost surely, 2^4036896 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 4036896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837832).

4036896 is an abundant number, since it is smaller than the sum of its proper divisors (7638768).

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

4036896 is a wasteful number, since it uses less digits than its factorization.

4036896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4036896 is about 2009.2028269938. The cubic root of 4036896 is about 159.2266850885.

The spelling of 4036896 in words is "four million, thirty-six thousand, eight hundred ninety-six".