3626956968 has 128 divisors (see below), whose sum is σ = 9856166400. Its totient is φ = 1108318464.

The previous prime is 3626956933. The next prime is 3626956981. The reversal of 3626956968 is 8696596263.

3626956968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3829471 + ... + 3830417.

It is an arithmetic number, because the mean of its divisors is an integer number (77001300).

Almost surely, 2^3626956968 is an apocalyptic number.

3626956968 is a gapful number since it is divisible by the number (38) 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 3626956968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928083200).

3626956968 is an abundant number, since it is smaller than the sum of its proper divisors (6229209432).

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

3626956968 is a wasteful number, since it uses less digits than its factorization.

3626956968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1235 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 60.

The square root of 3626956968 is about 60224.2224358273. Note that the first 3 decimals coincide. The cubic root of 3626956968 is about 1536.4347964795.

The spelling of 3626956968 in words is "three billion, six hundred twenty-six million, nine hundred fifty-six thousand, nine hundred sixty-eight".