36223689600 has 576 divisors, whose sum is σ = 150901770240. Its totient is φ = 8101416960.

The previous prime is 36223689583. The next prime is 36223689613. The reversal of 36223689600 is 698632263.

36223689600 is a `hidden beast` number, since 3 + 6 + 2 + 2 + 36 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9473289 + ... + 9477111.

It is an arithmetic number, because the mean of its divisors is an integer number (261982240).

Almost surely, 2^36223689600 is an apocalyptic number.

36223689600 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 36223689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75450885120).

36223689600 is an abundant number, since it is smaller than the sum of its proper divisors (114678080640).

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

36223689600 is a wasteful number, since it uses less digits than its factorization.

36223689600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 36223689600 in words is "thirty-six billion, two hundred twenty-three million, six hundred eighty-nine thousand, six hundred".