36004880 has 40 divisors (see below), whose sum is σ = 84499800. Its totient is φ = 14266368.

The previous prime is 36004879. The next prime is 36004883. The reversal of 36004880 is 8840063.

It can be written as a sum of positive squares in 4 ways, for example, as 6801664 + 29203216 = 2608^2 + 5404^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (36004883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6656 + ... + 10784.

It is an arithmetic number, because the mean of its divisors is an integer number (2112495).

Almost surely, 2^36004880 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 36004880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42249900).

36004880 is an abundant number, since it is smaller than the sum of its proper divisors (48494920).

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

36004880 is a wasteful number, since it uses less digits than its factorization.

36004880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 36004880 is about 6000.4066528861. The cubic root of 36004880 is about 330.2076440348.

The spelling of 36004880 in words is "thirty-six million, four thousand, eight hundred eighty".