3643085736 has 48 divisors (see below), whose sum is σ = 10295681760. Its totient is φ = 1161563040.

The previous prime is 3643085657. The next prime is 3643085741. The reversal of 3643085736 is 6375803463.

3643085736 is a `hidden beast` number, since 36 + 43 + 0 + 8 + 573 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3643085691 and 3643085700.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1098310 + ... + 1101621.

It is an arithmetic number, because the mean of its divisors is an integer number (214493370).

Almost surely, 2^3643085736 is an apocalyptic number.

3643085736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3643085736 is an abundant number, since it is smaller than the sum of its proper divisors (6652596024).

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

3643085736 is a wasteful number, since it uses less digits than its factorization.

3643085736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199966 (or 2199959 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3643085736 is about 60357.9798866728. The cubic root of 3643085736 is about 1538.7088936889.

The spelling of 3643085736 in words is "three billion, six hundred forty-three million, eighty-five thousand, seven hundred thirty-six".