36048024 has 64 divisors (see below), whose sum is σ = 106034400. Its totient is φ = 11308032.

The previous prime is 36047993. The next prime is 36048029. The reversal of 36048024 is 42084063.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36048029) 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, 1237 + ... + 8580.

Almost surely, 2^36048024 is an apocalyptic number.

36048024 is a gapful number since it is divisible by the number (34) 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 36048024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53017200).

36048024 is an abundant number, since it is smaller than the sum of its proper divisors (69986376).

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

36048024 is a wasteful number, since it uses less digits than its factorization.

36048024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9849 (or 9839 counting only the distinct ones).

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

The square root of 36048024 is about 6004.0006662225. Note that the first 3 decimals coincide. The cubic root of 36048024 is about 330.3394853476.

It can be divided in two parts, 3604 and 8024, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 36048024 in words is "thirty-six million, forty-eight thousand, twenty-four".