36009288000 has 672 divisors, whose sum is σ = 151269850368. Its totient is φ = 8004096000.

The previous prime is 36009287999. The next prime is 36009288001. The reversal of 36009288000 is 88290063.

It is an interprime number because it is at equal distance from previous prime (36009287999) and next prime (36009288001).

It is a tau number, because it is divible by the number of its divisors (672).

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 (36009288001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18647035 + ... + 18648965.

It is an arithmetic number, because the mean of its divisors is an integer number (225103944).

Almost surely, 2^36009288000 is an apocalyptic number.

36009288000 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 36009288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75634925184).

36009288000 is an abundant number, since it is smaller than the sum of its proper divisors (115260562368).

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

36009288000 is a wasteful number, since it uses less digits than its factorization.

36009288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 36009288000 in words is "thirty-six billion, nine million, two hundred eighty-eight thousand".