36952640 has 56 divisors (see below), whose sum is σ = 90400632. Its totient is φ = 14376960.

The previous prime is 36952639. The next prime is 36952717. The reversal of 36952640 is 4625963.

36952640 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 4 ways, for example, as 1048576 + 35904064 = 1024^2 + 5992^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 36952640.

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 7 ways as a sum of consecutive naturals, for example, 10280 + ... + 13400.

It is an arithmetic number, because the mean of its divisors is an integer number (1614297).

Almost surely, 2^36952640 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 36952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45200316).

36952640 is an abundant number, since it is smaller than the sum of its proper divisors (53447992).

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

36952640 is a wasteful number, since it uses less digits than its factorization.

36952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 36952640 is about 6078.8683157311. The cubic root of 36952640 is about 333.0799496612.

The spelling of 36952640 in words is "thirty-six million, nine hundred fifty-two thousand, six hundred forty".