36284004 has 48 divisors (see below), whose sum is σ = 94785600. Its totient is φ = 12002688.

The previous prime is 36283999. The next prime is 36284009. The reversal of 36284004 is 40048263.

It is an interprime number because it is at equal distance from previous prime (36283999) and next prime (36284009).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (36284009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13804 + ... + 16220.

It is an arithmetic number, because the mean of its divisors is an integer number (1974700).

Almost surely, 2^36284004 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 36284004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47392800).

36284004 is an abundant number, since it is smaller than the sum of its proper divisors (58501596).

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

36284004 is a wasteful number, since it uses less digits than its factorization.

36284004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 36284004 is about 6023.6205059748. The cubic root of 36284004 is about 331.0587483155.

The spelling of 36284004 in words is "thirty-six million, two hundred eighty-four thousand, four".