36147744 has 72 divisors (see below), whose sum is σ = 103380732. Its totient is φ = 11980800.

The previous prime is 36147731. The next prime is 36147751. The reversal of 36147744 is 44774163.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 36144144 + 3600 = 6012^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36147699 and 36147708.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89944 + ... + 90344.

Almost surely, 2^36147744 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 36147744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51690366).

36147744 is an abundant number, since it is smaller than the sum of its proper divisors (67232988).

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

36147744 is a wasteful number, since it uses less digits than its factorization.

36147744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 719 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 36147744 is about 6012.2993937428. The cubic root of 36147744 is about 330.6438120116.

The spelling of 36147744 in words is "thirty-six million, one hundred forty-seven thousand, seven hundred forty-four".