36242316000 has 480 divisors, whose sum is σ = 145128503520. Its totient is φ = 8785152000.

The previous prime is 36242315983. The next prime is 36242316001. The reversal of 36242316000 is 61324263.

36242316000 is a `hidden beast` number, since 3 + 6 + 24 + 2 + 31 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (36242316001) 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, 3558916 + ... + 3569084.

It is an arithmetic number, because the mean of its divisors is an integer number (302351049).

Almost surely, 2^36242316000 is an apocalyptic number.

36242316000 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 36242316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72564251760).

36242316000 is an abundant number, since it is smaller than the sum of its proper divisors (108886187520).

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

36242316000 is a wasteful number, since it uses less digits than its factorization.

36242316000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10217 (or 10190 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 36242316000 in words is "thirty-six billion, two hundred forty-two million, three hundred sixteen thousand".