3636736416 has 216 divisors, whose sum is σ = 10972618020. Its totient is φ = 1141088256.

The previous prime is 3636736409. The next prime is 3636736447. The reversal of 3636736416 is 6146376363.

3636736416 is a `hidden beast` number, since 3 + 636 + 7 + 3 + 6 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3636090000 + 646416 = 60300^2 + 804^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37492080 + ... + 37492176.

Almost surely, 2^3636736416 is an apocalyptic number.

3636736416 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 3636736416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486309010).

3636736416 is an abundant number, since it is smaller than the sum of its proper divisors (7335881604).

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

3636736416 is a wasteful number, since it uses less digits than its factorization.

3636736416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 198 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The square root of 3636736416 is about 60305.3597617990. The cubic root of 3636736416 is about 1537.8144654419.

The spelling of 3636736416 in words is "three billion, six hundred thirty-six million, seven hundred thirty-six thousand, four hundred sixteen".