3640602966 has 128 divisors (see below), whose sum is σ = 9961491456. Its totient is φ = 856327680.

The previous prime is 3640602937. The next prime is 3640602971. The reversal of 3640602966 is 6692060463.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312600 + ... + 324036.

It is an arithmetic number, because the mean of its divisors is an integer number (77824152).

Almost surely, 2^3640602966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640602966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4980745728).

3640602966 is an abundant number, since it is smaller than the sum of its proper divisors (6320888490).

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

3640602966 is a wasteful number, since it uses less digits than its factorization.

3640602966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11526.

The product of its (nonzero) digits is 279936, while the sum is 42.

The square root of 3640602966 is about 60337.4093411376. The cubic root of 3640602966 is about 1538.3592698879.

It can be divided in two parts, 3640 and 602966, that added together give a palindrome (606606).

The spelling of 3640602966 in words is "three billion, six hundred forty million, six hundred two thousand, nine hundred sixty-six".