3626131968 has 160 divisors (see below), whose sum is σ = 10963941120. Its totient is φ = 1182781440.

The previous prime is 3626131967. The next prime is 3626132017. The reversal of 3626131968 is 8691316263.

3626131968 is a `hidden beast` number, since 3 + 626 + 1 + 3 + 19 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3626131967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646938 + ... + 652518.

It is an arithmetic number, because the mean of its divisors is an integer number (68524632).

Almost surely, 2^3626131968 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 3626131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5481970560).

3626131968 is an abundant number, since it is smaller than the sum of its proper divisors (7337809152).

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

3626131968 is an equidigital number, since it uses as much as digits as its factorization.

3626131968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5655 (or 5633 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 3626131968 is about 60217.3726427847. The cubic root of 3626131968 is about 1536.3182934130.

The spelling of 3626131968 in words is "three billion, six hundred twenty-six million, one hundred thirty-one thousand, nine hundred sixty-eight".