3643181064 has 80 divisors (see below), whose sum is σ = 10333593600. Its totient is φ = 1199004768.

The previous prime is 3643181053. The next prime is 3643181089. The reversal of 3643181064 is 4601813463.

It is a happy number.

3643181064 is a `hidden beast` number, since 3 + 643 + 1 + 8 + 1 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15609 + ... + 86775.

It is an arithmetic number, because the mean of its divisors is an integer number (129169920).

Almost surely, 2^3643181064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3643181064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166796800).

3643181064 is an abundant number, since it is smaller than the sum of its proper divisors (6690412536).

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

3643181064 is a wasteful number, since it uses less digits than its factorization.

3643181064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71264 (or 71251 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3643181064 is about 60358.7695699639. The cubic root of 3643181064 is about 1538.7223146158.

The spelling of 3643181064 in words is "three billion, six hundred forty-three million, one hundred eighty-one thousand, sixty-four".