36009792 has 224 divisors, whose sum is σ = 130860800. Its totient is φ = 9455616.

The previous prime is 36009781. The next prime is 36009811. The reversal of 36009792 is 29790063.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 157134 + ... + 157362.

It is an arithmetic number, because the mean of its divisors is an integer number (584200).

Almost surely, 2^36009792 is an apocalyptic number.

36009792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36009792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65430400).

36009792 is an abundant number, since it is smaller than the sum of its proper divisors (94851008).

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

36009792 is a wasteful number, since it uses less digits than its factorization.

36009792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 36009792 is about 6000.8159445195. The cubic root of 36009792 is about 330.2226596493. Note that the first 3 decimals are identical.

The spelling of 36009792 in words is "thirty-six million, nine thousand, seven hundred ninety-two".