36642792 has 64 divisors (see below), whose sum is σ = 97459200. Its totient is φ = 11448000.

The previous prime is 36642791. The next prime is 36642797. The reversal of 36642792 is 29724663.

It is a self number, because there is not a number n which added to its sum of digits gives 36642792.

It is not an unprimeable number, because it can be changed into a prime (36642791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48417 + ... + 49167.

It is an arithmetic number, because the mean of its divisors is an integer number (1522800).

Almost surely, 2^36642792 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 36642792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48729600).

36642792 is an abundant number, since it is smaller than the sum of its proper divisors (60816408).

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

36642792 is a wasteful number, since it uses less digits than its factorization.

36642792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 882 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 36642792 is about 6053.3290014669. The cubic root of 36642792 is about 332.1463766404.

The spelling of 36642792 in words is "thirty-six million, six hundred forty-two thousand, seven hundred ninety-two".