36082368000 has 1280 divisors, whose sum is σ = 161375385600. Its totient is φ = 7763558400.

The previous prime is 36082367999. The next prime is 36082368071. The reversal of 36082368000 is 86328063.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229823922 + ... + 229824078.

It is an arithmetic number, because the mean of its divisors is an integer number (126074520).

Almost surely, 2^36082368000 is an apocalyptic number.

36082368000 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 36082368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80687692800).

36082368000 is an abundant number, since it is smaller than the sum of its proper divisors (125293017600).

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

36082368000 is a wasteful number, since it uses less digits than its factorization.

36082368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 36082368000 in words is "thirty-six billion, eighty-two million, three hundred sixty-eight thousand".