36084013200 has 360 divisors, whose sum is σ = 130743642536. Its totient is φ = 9206784000.

The previous prime is 36084013183. The next prime is 36084013213. The reversal of 36084013200 is 231048063.

It is a happy number.

36084013200 is a `hidden beast` number, since 3 + 608 + 40 + 13 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 13795911936 + 22288101264 = 117456^2 + 149292^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8122980 + ... + 8127420.

Almost surely, 2^36084013200 is an apocalyptic number.

36084013200 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 36084013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65371821268).

36084013200 is an abundant number, since it is smaller than the sum of its proper divisors (94659629336).

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

36084013200 is a wasteful number, since it uses less digits than its factorization.

36084013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4563 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 36084013200 in words is "thirty-six billion, eighty-four million, thirteen thousand, two hundred".