36727344 has 100 divisors (see below), whose sum is σ = 112620024. Its totient is φ = 11515392.

The previous prime is 36727261. The next prime is 36727367. The reversal of 36727344 is 44372763.

It is a happy number.

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 = 36727299 and 36727308.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21199 + ... + 22865.

Almost surely, 2^36727344 is an apocalyptic number.

36727344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36727344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56310012).

36727344 is an abundant number, since it is smaller than the sum of its proper divisors (75892680).

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

36727344 is a wasteful number, since it uses less digits than its factorization.

36727344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1689 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 36727344 is about 6060.3089030181. The cubic root of 36727344 is about 332.4016525612.

The spelling of 36727344 in words is "thirty-six million, seven hundred twenty-seven thousand, three hundred forty-four".