3636865440 has 384 divisors, whose sum is σ = 14157158400. Its totient is φ = 865935360.

The previous prime is 3636865439. The next prime is 3636865483. The reversal of 3636865440 is 445686363.

3636865440 is a `hidden beast` number, since 3 + 636 + 8 + 6 + 5 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1739916 + ... + 1742004.

It is an arithmetic number, because the mean of its divisors is an integer number (36867600).

Almost surely, 2^3636865440 is an apocalyptic number.

3636865440 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 3636865440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7078579200).

3636865440 is an abundant number, since it is smaller than the sum of its proper divisors (10520292960).

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

3636865440 is a wasteful number, since it uses less digits than its factorization.

3636865440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 3636865440 is about 60306.4295079720. The cubic root of 3636865440 is about 1537.8326514017.

The spelling of 3636865440 in words is "three billion, six hundred thirty-six million, eight hundred sixty-five thousand, four hundred forty".