36352800000 has 1296 divisors, whose sum is σ = 156930830784. Its totient is φ = 8294400000.

The previous prime is 36352799999. The next prime is 36352800049. The reversal of 36352800000 is 825363.

36352800000 is a `hidden beast` number, since 3 + 635 + 28 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2138399992 + ... + 2138400008.

It is an arithmetic number, because the mean of its divisors is an integer number (121088604).

Almost surely, 2^36352800000 is an apocalyptic number.

36352800000 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 36352800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78465415392).

36352800000 is an abundant number, since it is smaller than the sum of its proper divisors (120578030784).

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

36352800000 is an frugal number, since it uses more digits than its factorization.

36352800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 36352800000 in words is "thirty-six billion, three hundred fifty-two million, eight hundred thousand".