36234362880 has 256 divisors, whose sum is σ = 128847052800. Its totient is φ = 9661317120.

The previous prime is 36234362861. The next prime is 36234362947. The reversal of 36234362880 is 8826343263.

36234362880 is a `hidden beast` number, since 362 + 3 + 4 + 3 + 6 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4419585 + ... + 4427775.

It is an arithmetic number, because the mean of its divisors is an integer number (503308800).

Almost surely, 2^36234362880 is an apocalyptic number.

36234362880 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 36234362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64423526400).

36234362880 is an abundant number, since it is smaller than the sum of its proper divisors (92612689920).

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

36234362880 is an frugal number, since it uses more digits than its factorization.

36234362880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8235 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 36234362880 in words is "thirty-six billion, two hundred thirty-four million, three hundred sixty-two thousand, eight hundred eighty".