3914422848 has 336 divisors, whose sum is σ = 13637629824. Its totient is φ = 1089884160.

The previous prime is 3914422817. The next prime is 3914422849. The reversal of 3914422848 is 8482244193.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3914422848² = 30645412465888862208, which contains 22 as substring.

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 (3914422849) 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 47 ways as a sum of consecutive naturals, for example, 4462986 + ... + 4463862.

It is an arithmetic number, because the mean of its divisors is an integer number (40588184).

Almost surely, 2^3914422848 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 3914422848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6818814912).

3914422848 is an abundant number, since it is smaller than the sum of its proper divisors (9723206976).

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

3914422848 is an equidigital number, since it uses as much as digits as its factorization.

3914422848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 930 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 3914422848 is about 62565.3486204624. The cubic root of 3914422848 is about 1575.9989091870.

The spelling of 3914422848 in words is "three billion, nine hundred fourteen million, four hundred twenty-two thousand, eight hundred forty-eight".