36807144 has 64 divisors (see below), whose sum is σ = 101399040. Its totient is φ = 11040960.

The previous prime is 36807143. The next prime is 36807149. The reversal of 36807144 is 44170863.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (36807143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27597 + ... + 28899.

It is an arithmetic number, because the mean of its divisors is an integer number (1584360).

Almost surely, 2^36807144 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 36807144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50699520).

36807144 is an abundant number, since it is smaller than the sum of its proper divisors (64591896).

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

36807144 is a wasteful number, since it uses less digits than its factorization.

36807144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 36807144 is about 6066.8891534295. The cubic root of 36807144 is about 332.6422223092.

The spelling of 36807144 in words is "thirty-six million, eight hundred seven thousand, one hundred forty-four".