3334444320 has 192 divisors, whose sum is σ = 11314888704. Its totient is φ = 823004160.

The previous prime is 3334444313. The next prime is 3334444357. The reversal of 3334444320 is 234444333.

3334444320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3334444320² = 22237037846360524800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337369 + ... + 347111.

It is an arithmetic number, because the mean of its divisors is an integer number (58931712).

Almost surely, 2^3334444320 is an apocalyptic number.

3334444320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3334444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5657444352).

3334444320 is an abundant number, since it is smaller than the sum of its proper divisors (7980444384).

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

3334444320 is a wasteful number, since it uses less digits than its factorization.

3334444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9815 (or 9807 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

The square root of 3334444320 is about 57744.6475441664. The cubic root of 3334444320 is about 1493.9675231153.

Adding to 3334444320 its reverse (234444333), we get a palindrome (3568888653).

The spelling of 3334444320 in words is "three billion, three hundred thirty-four million, four hundred forty-four thousand, three hundred twenty".