36777645 has 40 divisors (see below), whose sum is σ = 66908160. Its totient is φ = 19323360.

The previous prime is 36777617. The next prime is 36777649. The reversal of 36777645 is 54677763.

36777645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36777645 - 2¹⁴ = 36761261 is a prime.

It is a super-3 number, since 3×36777645³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 36777645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36777649) 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 39 ways as a sum of consecutive naturals, for example, 28116 + ... + 29394.

It is an arithmetic number, because the mean of its divisors is an integer number (1672704).

Almost surely, 2^36777645 is an apocalyptic number.

It is an amenable number.

36777645 is a deficient number, since it is larger than the sum of its proper divisors (30130515).

36777645 is a wasteful number, since it uses less digits than its factorization.

36777645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1358 counting only the distinct ones).

The product of its digits is 740880, while the sum is 45.

The square root of 36777645 is about 6064.4575190201. The cubic root of 36777645 is about 332.5533334464.

36777645 divided by its sum of digits (45) gives a triangular number (817281 = T₁₂₇₈).

The spelling of 36777645 in words is "thirty-six million, seven hundred seventy-seven thousand, six hundred forty-five".