36483264 has 112 divisors (see below), whose sum is σ = 109971840. Its totient is φ = 11854080.

The previous prime is 36483263. The next prime is 36483269. The reversal of 36483264 is 46238463.

It is a happy number.

36483264 is a `hidden beast` number, since 3 + 648 + 3 + 2 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (36483263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74059 + ... + 74549.

Almost surely, 2^36483264 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 36483264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54985920).

36483264 is an abundant number, since it is smaller than the sum of its proper divisors (73488576).

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

36483264 is a wasteful number, since it uses less digits than its factorization.

36483264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 539 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 36483264 is about 6040.1377467737. The cubic root of 36483264 is about 331.6636648073.

The spelling of 36483264 in words is "thirty-six million, four hundred eighty-three thousand, two hundred sixty-four".