36004500 has 240 divisors, whose sum is σ = 135303168. Its totient is φ = 8164800.

The previous prime is 36004489. The next prime is 36004511. The reversal of 36004500 is 540063.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36004489) and next prime (36004511).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 283437 + ... + 283563.

Almost surely, 2^36004500 is an apocalyptic number.

36004500 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 36004500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67651584).

36004500 is an abundant number, since it is smaller than the sum of its proper divisors (99298668).

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

36004500 is a wasteful number, since it uses less digits than its factorization.

36004500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 36004500 is about 6000.3749882820. The cubic root of 36004500 is about 330.2064823465.

Adding to 36004500 its reverse (540063), we get a palindrome (36544563).

It can be divided in two parts, 3600 and 4500, that added together give a square (8100 = 90²).

The spelling of 36004500 in words is "thirty-six million, four thousand, five hundred".