3806822688 has 96 divisors (see below), whose sum is σ = 10178675136. Its totient is φ = 1245523968.

The previous prime is 3806822671. The next prime is 3806822689. The reversal of 3806822688 is 8862286083.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3806822688.

It is not an unprimeable number, because it can be changed into a prime (3806822689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1589620 + ... + 1592012.

It is an arithmetic number, because the mean of its divisors is an integer number (106027866).

Almost surely, 2^3806822688 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 3806822688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089337568).

3806822688 is an abundant number, since it is smaller than the sum of its proper divisors (6371852448).

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

3806822688 is a wasteful number, since it uses less digits than its factorization.

3806822688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The square root of 3806822688 is about 61699.4545194688. The cubic root of 3806822688 is about 1561.4241170228.

The spelling of 3806822688 in words is "three billion, eight hundred six million, eight hundred twenty-two thousand, six hundred eighty-eight".