36661700 has 36 divisors (see below), whose sum is σ = 80002692. Its totient is φ = 14582400.

The previous prime is 36661699. The next prime is 36661711. The reversal of 36661700 is 716663.

It is a happy number.

36661700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1401856 + 35259844 = 1184^2 + 5938^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 18770 + ... + 20630.

It is an arithmetic number, because the mean of its divisors is an integer number (2222297).

Almost surely, 2^36661700 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 36661700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40001346).

36661700 is an abundant number, since it is smaller than the sum of its proper divisors (43340992).

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

36661700 is a wasteful number, since it uses less digits than its factorization.

36661700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 36661700 is about 6054.8905853038. The cubic root of 36661700 is about 332.2034969583.

The spelling of 36661700 in words is "thirty-six million, six hundred sixty-one thousand, seven hundred".