36003242880 has 640 divisors, whose sum is σ = 147689308800. Its totient is φ = 8266199040.

The previous prime is 36003242879. The next prime is 36003242887. The reversal of 36003242880 is 8824230063.

36003242880 is a `hidden beast` number, since 3 + 600 + 3 + 2 + 42 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36003242887) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10832899 + ... + 10836221.

It is an arithmetic number, because the mean of its divisors is an integer number (230764545).

Almost surely, 2^36003242880 is an apocalyptic number.

36003242880 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 36003242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73844654400).

36003242880 is an abundant number, since it is smaller than the sum of its proper divisors (111686065920).

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

36003242880 is a wasteful number, since it uses less digits than its factorization.

36003242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 36003242880 in words is "thirty-six billion, three million, two hundred forty-two thousand, eight hundred eighty".