11038734 has 128 divisors (see below), whose sum is σ = 31104000. Its totient is φ = 2830464.

The previous prime is 11038733. The next prime is 11038739. The reversal of 11038734 is 43783011.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11038698 and 11038707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11038733) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208252 + ... + 208304.

It is an arithmetic number, because the mean of its divisors is an integer number (243000).

Almost surely, 2^11038734 is an apocalyptic number.

11038734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11038734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552000).

11038734 is an abundant number, since it is smaller than the sum of its proper divisors (20065266).

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

11038734 is a wasteful number, since it uses less digits than its factorization.

11038734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 11038734 is about 3322.4590290928. The cubic root of 11038734 is about 222.6587446036.

The spelling of 11038734 in words is "eleven million, thirty-eight thousand, seven hundred thirty-four".