36353772000 has 1344 divisors, whose sum is σ = 166028413824. Its totient is φ = 7614259200.

The previous prime is 36353771983. The next prime is 36353772011. The reversal of 36353772000 is 27735363.

It is a happy number.

36353772000 is a `hidden beast` number, since 36 + 353 + 77 + 200 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 265355932 + ... + 265356068.

It is an arithmetic number, because the mean of its divisors is an integer number (123533046).

Almost surely, 2^36353772000 is an apocalyptic number.

36353772000 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 36353772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83014206912).

36353772000 is an abundant number, since it is smaller than the sum of its proper divisors (129674641824).

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

36353772000 is a wasteful number, since it uses less digits than its factorization.

36353772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 36.

The spelling of 36353772000 in words is "thirty-six billion, three hundred fifty-three million, seven hundred seventy-two thousand".