36004320 has 144 divisors (see below), whose sum is σ = 134093232. Its totient is φ = 8724480.

The previous prime is 36004307. The next prime is 36004333. The reversal of 36004320 is 2340063.

36004320 is a `hidden beast` number, since 3 + 600 + 43 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (36004307) and next prime (36004333).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×36004320² = 2592622117324800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 36004293 and 36004302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14704 + ... + 16976.

It is an arithmetic number, because the mean of its divisors is an integer number (931203).

Almost surely, 2^36004320 is an apocalyptic number.

36004320 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 36004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67046616).

36004320 is an abundant number, since it is smaller than the sum of its proper divisors (98088912).

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

36004320 is a wasteful number, since it uses less digits than its factorization.

36004320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 36004320 is about 6000.3599892006. The cubic root of 36004320 is about 330.2059320702.

Adding to 36004320 its reverse (2340063), we get a palindrome (38344383).

It can be divided in two parts, 360043 and 20, that added together give a palindrome (360063).

The spelling of 36004320 in words is "thirty-six million, four thousand, three hundred twenty".