36861235200 has 936 divisors, whose sum is σ = 144503394048. Its totient is φ = 8953528320.

The previous prime is 36861235189. The next prime is 36861235319. The reversal of 36861235200 is 253216863.

It is a happy number.

36861235200 is a `hidden beast` number, since 3 + 6 + 8 + 6 + 123 + 520 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 784281577 + ... + 784281623.

It is an arithmetic number, because the mean of its divisors is an integer number (154383968).

Almost surely, 2^36861235200 is an apocalyptic number.

36861235200 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 36861235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72251697024).

36861235200 is an abundant number, since it is smaller than the sum of its proper divisors (107642158848).

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

36861235200 is a wasteful number, since it uses less digits than its factorization.

36861235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 36861235200 in words is "thirty-six billion, eight hundred sixty-one million, two hundred thirty-five thousand, two hundred".