3800659968 has 288 divisors, whose sum is σ = 13021706880. Its totient is φ = 1084907520.

The previous prime is 3800659957. The next prime is 3800659969. The reversal of 3800659968 is 8699560083.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3800659968² = 28890032384715522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3800659969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3483103 + ... + 3484193.

It is an arithmetic number, because the mean of its divisors is an integer number (45214260).

Almost surely, 2^3800659968 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 3800659968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6510853440).

3800659968 is an abundant number, since it is smaller than the sum of its proper divisors (9221046912).

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

3800659968 is an equidigital number, since it uses as much as digits as its factorization.

3800659968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 3800659968 is about 61649.4928446293. The cubic root of 3800659968 is about 1560.5810852995.

The spelling of 3800659968 in words is "three billion, eight hundred million, six hundred fifty-nine thousand, nine hundred sixty-eight".