3807826848 has 240 divisors, whose sum is σ = 13062772800. Its totient is φ = 1087696512.

The previous prime is 3807826831. The next prime is 3807826927. The reversal of 3807826848 is 8486287083.

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

It is a junction number, because it is equal to n+sod(n) for n = 3807826794 and 3807826803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 886915 + ... + 891197.

It is an arithmetic number, because the mean of its divisors is an integer number (54428220).

Almost surely, 2^3807826848 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 3807826848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531386400).

3807826848 is an abundant number, since it is smaller than the sum of its proper divisors (9254945952).

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

3807826848 is an equidigital number, since it uses as much as digits as its factorization.

3807826848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 3807826848 is about 61707.5914940779. The cubic root of 3807826848 is about 1561.5613952667.

The spelling of 3807826848 in words is "three billion, eight hundred seven million, eight hundred twenty-six thousand, eight hundred forty-eight".