36335642436 has 72 divisors (see below), whose sum is σ = 92940703128. Its totient is φ = 11968320000.

The previous prime is 36335642429. The next prime is 36335642521. The reversal of 36335642436 is 63424653363.

36335642436 is a `hidden beast` number, since 3 + 6 + 33 + 564 + 24 + 36 = 666.

36335642436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15539118336 + 20796524100 = 124656^2 + 144210^2 .

It is a super-3 number, since 3×36335642436³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 36335642391 and 36335642400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1884766 + ... + 1903946.

It is an arithmetic number, because the mean of its divisors is an integer number (1290843099).

Almost surely, 2^36335642436 is an apocalyptic number.

36335642436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36335642436 is an abundant number, since it is smaller than the sum of its proper divisors (56605060692).

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

36335642436 is a wasteful number, since it uses less digits than its factorization.

36335642436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19813 (or 19808 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 45.

The spelling of 36335642436 in words is "thirty-six billion, three hundred thirty-five million, six hundred forty-two thousand, four hundred thirty-six".