36809881920 has 448 divisors, whose sum is σ = 151449024000. Its totient is φ = 8413009920.

The previous prime is 36809881903. The next prime is 36809881937. The reversal of 36809881920 is 2918890863.

It is a happy number.

36809881920 is a `hidden beast` number, since 368 + 0 + 98 + 8 + 192 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36809881903) and next prime (36809881937).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 2957310 + ... + 2969730.

Almost surely, 2^36809881920 is an apocalyptic number.

36809881920 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 36809881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75724512000).

36809881920 is an abundant number, since it is smaller than the sum of its proper divisors (114639142080).

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

36809881920 is a wasteful number, since it uses less digits than its factorization.

36809881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12468 (or 12438 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 36809881920 in words is "thirty-six billion, eight hundred nine million, eight hundred eighty-one thousand, nine hundred twenty".