36812814336 has 384 divisors, whose sum is σ = 118014624000. Its totient is φ = 11298963456.

The previous prime is 36812814331. The next prime is 36812814391. The reversal of 36812814336 is 63341821863.

36812814336 is a `hidden beast` number, since 36 + 8 + 1 + 281 + 4 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×36812814336³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 36812814291 and 36812814300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36812814331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38872615 + ... + 38873561.

It is an arithmetic number, because the mean of its divisors is an integer number (307329750).

Almost surely, 2^36812814336 is an apocalyptic number.

36812814336 is a gapful number since it is divisible by the number (36) 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 36812814336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59007312000).

36812814336 is an abundant number, since it is smaller than the sum of its proper divisors (81201809664).

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

36812814336 is a wasteful number, since it uses less digits than its factorization.

36812814336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1008 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 36812814336 in words is "thirty-six billion, eight hundred twelve million, eight hundred fourteen thousand, three hundred thirty-six".