36611952 has 80 divisors (see below), whose sum is σ = 106326528. Its totient is φ = 10771200.

The previous prime is 36611947. The next prime is 36611957. The reversal of 36611952 is 25911663.

It is a happy number.

36611952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36611947) and next prime (36611957).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36611957) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13077 + ... + 15627.

Almost surely, 2^36611952 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 36611952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53163264).

36611952 is an abundant number, since it is smaller than the sum of its proper divisors (69714576).

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

36611952 is a wasteful number, since it uses less digits than its factorization.

36611952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2592 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 36611952 is about 6050.7811066010. The cubic root of 36611952 is about 332.0531680466.

The spelling of 36611952 in words is "thirty-six million, six hundred eleven thousand, nine hundred fifty-two".