3944420480 has 512 divisors, whose sum is σ = 13028843520. Its totient is φ = 1102233600.

The previous prime is 3944420479. The next prime is 3944420503. The reversal of 3944420480 is 840244493.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 30110015 + ... + 30110145.

It is an arithmetic number, because the mean of its divisors is an integer number (25446960).

Almost surely, 2^3944420480 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 3944420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6514421760).

3944420480 is an abundant number, since it is smaller than the sum of its proper divisors (9084423040).

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

3944420480 is a wasteful number, since it uses less digits than its factorization.

3944420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 3944420480 is about 62804.6214860021. The cubic root of 3944420480 is about 1580.0144847254.

It can be divided in two parts, 3944 and 420480, that added together give a palindrome (424424).

The spelling of 3944420480 in words is "three billion, nine hundred forty-four million, four hundred twenty thousand, four hundred eighty".