36338742 has 48 divisors (see below), whose sum is σ = 86381568. Its totient is φ = 10949040.

The previous prime is 36338719. The next prime is 36338767. The reversal of 36338742 is 24783363.

36338742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 36338697 and 36338706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43743 + ... + 44565.

It is an arithmetic number, because the mean of its divisors is an integer number (1799616).

Almost surely, 2^36338742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36338742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43190784).

36338742 is an abundant number, since it is smaller than the sum of its proper divisors (50042826).

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

36338742 is a wasteful number, since it uses less digits than its factorization.

36338742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1062 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 36338742 is about 6028.1624065713. The cubic root of 36338742 is about 331.2251429313.

The spelling of 36338742 in words is "thirty-six million, three hundred thirty-eight thousand, seven hundred forty-two".