36036305280 has 192 divisors, whose sum is σ = 124963300800. Its totient is φ = 9569107968.

The previous prime is 36036305269. The next prime is 36036305287. The reversal of 36036305280 is 8250363063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 (36036305287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1363552 + ... + 1389728.

It is an arithmetic number, because the mean of its divisors is an integer number (650850525).

Almost surely, 2^36036305280 is an apocalyptic number.

36036305280 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 36036305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62481650400).

36036305280 is an abundant number, since it is smaller than the sum of its proper divisors (88926995520).

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

36036305280 is a wasteful number, since it uses less digits than its factorization.

36036305280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26441 (or 26426 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 36036305280 in words is "thirty-six billion, thirty-six million, three hundred five thousand, two hundred eighty".