9038736 has 160 divisors (see below), whose sum is σ = 30752000. Its totient is φ = 2540160.

The previous prime is 9038723. The next prime is 9038773. The reversal of 9038736 is 6378309.

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 9038736.

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 31 ways as a sum of consecutive naturals, for example, 148146 + ... + 148206.

It is an arithmetic number, because the mean of its divisors is an integer number (192200).

Almost surely, 2^9038736 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 9038736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15376000).

9038736 is an abundant number, since it is smaller than the sum of its proper divisors (21713264).

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

9038736 is a wasteful number, since it uses less digits than its factorization.

9038736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 9038736 is about 3006.4490682531. The cubic root of 9038736 is about 208.3063778814.

The spelling of 9038736 in words is "nine million, thirty-eight thousand, seven hundred thirty-six".