3636830736 has 480 divisors, whose sum is σ = 13624366080. Its totient is φ = 877132800.

The previous prime is 3636830731. The next prime is 3636830767. The reversal of 3636830736 is 6370386363.

3636830736 is a `hidden beast` number, since 3 + 636 + 8 + 3 + 0 + 7 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3636830691 and 3636830700.

It is not an unprimeable number, because it can be changed into a prime (3636830731) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12850851 + ... + 12851133.

It is an arithmetic number, because the mean of its divisors is an integer number (28384096).

Almost surely, 2^3636830736 is an apocalyptic number.

3636830736 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 3636830736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6812183040).

3636830736 is an abundant number, since it is smaller than the sum of its proper divisors (9987535344).

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

3636830736 is a wasteful number, since it uses less digits than its factorization.

3636830736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

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

The square root of 3636830736 is about 60306.1417767710. The cubic root of 3636830736 is about 1537.8277599080.

The spelling of 3636830736 in words is "three billion, six hundred thirty-six million, eight hundred thirty thousand, seven hundred thirty-six".