4000736 has 48 divisors (see below), whose sum is σ = 8426880. Its totient is φ = 1866240.

The previous prime is 4000723. The next prime is 4000741. The reversal of 4000736 is 6370004.

4000736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 36650 + ... + 36758.

It is an arithmetic number, because the mean of its divisors is an integer number (175560).

Almost surely, 2^4000736 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 4000736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213440).

4000736 is an abundant number, since it is smaller than the sum of its proper divisors (4426144).

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

4000736 is a wasteful number, since it uses less digits than its factorization.

4000736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 4000736 is about 2000.1839915368. The cubic root of 4000736 is about 158.7498406595.

The spelling of 4000736 in words is "four million, seven hundred thirty-six", and thus it is an aban number.