3643005114 has 144 divisors (see below), whose sum is σ = 9652631040. Its totient is φ = 971671680.

The previous prime is 3643005077. The next prime is 3643005133. The reversal of 3643005114 is 4115003463.

3643005114 is a `hidden beast` number, since 3 + 643 + 0 + 0 + 5 + 1 + 14 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3284392 + ... + 3285500.

It is an arithmetic number, because the mean of its divisors is an integer number (67032160).

Almost surely, 2^3643005114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3643005114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826315520).

3643005114 is an abundant number, since it is smaller than the sum of its proper divisors (6009625926).

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

3643005114 is a wasteful number, since it uses less digits than its factorization.

3643005114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3643005114 is about 60357.3120176835. The cubic root of 3643005114 is about 1538.6975429904.

Adding to 3643005114 its reverse (4115003463), we get a palindrome (7758008577).

The spelling of 3643005114 in words is "three billion, six hundred forty-three million, five thousand, one hundred fourteen".