36227280 has 80 divisors (see below), whose sum is σ = 112921344. Its totient is φ = 9607680.

The previous prime is 36227237. The next prime is 36227291. The reversal of 36227280 is 8272263.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64762 + ... + 65318.

Almost surely, 2^36227280 is an apocalyptic number.

36227280 is a gapful number since it is divisible by the number (30) 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 36227280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56460672).

36227280 is an abundant number, since it is smaller than the sum of its proper divisors (76694064).

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

36227280 is a wasteful number, since it uses less digits than its factorization.

36227280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 36227280 is about 6018.9102003602. The cubic root of 36227280 is about 330.8861399224.

The spelling of 36227280 in words is "thirty-six million, two hundred twenty-seven thousand, two hundred eighty".