36011952 has 100 divisors (see below), whose sum is σ = 107188576. Its totient is φ = 11664000.

The previous prime is 36011923. The next prime is 36011953. The reversal of 36011952 is 25911063.

36011952 is a `hidden beast` number, since 3 + 601 + 1 + 9 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36011953) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47577 + ... + 48327.

Almost surely, 2^36011952 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 36011952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53594288).

36011952 is an abundant number, since it is smaller than the sum of its proper divisors (71176624).

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

36011952 is a wasteful number, since it uses less digits than its factorization.

36011952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 36011952 is about 6000.9959173457. The cubic root of 36011952 is about 330.2292621745.

It can be divided in two parts, 36011 and 952, that added together give a palindrome (36963).

The spelling of 36011952 in words is "thirty-six million, eleven thousand, nine hundred fifty-two".