3941336448 has 256 divisors, whose sum is σ = 13377830400. Its totient is φ = 1119025152.

The previous prime is 3941336429. The next prime is 3941336449. The reversal of 3941336448 is 8446331493.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3941336449) 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 31 ways as a sum of consecutive naturals, for example, 4765411 + ... + 4766237.

It is an arithmetic number, because the mean of its divisors is an integer number (52257150).

Almost surely, 2^3941336448 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 3941336448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6688915200).

3941336448 is an abundant number, since it is smaller than the sum of its proper divisors (9436493952).

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

3941336448 is a wasteful number, since it uses less digits than its factorization.

3941336448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1036 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 3941336448 is about 62780.0640968134. The cubic root of 3941336448 is about 1579.6025876520.

The spelling of 3941336448 in words is "three billion, nine hundred forty-one million, three hundred thirty-six thousand, four hundred forty-eight".