3344332320 has 768 divisors, whose sum is σ = 14249088000. Its totient is φ = 731566080.

The previous prime is 3344332307. The next prime is 3344332331. The reversal of 3344332320 is 232334433.

3344332320 is a `hidden beast` number, since 3 + 3 + 4 + 4 + 332 + 320 = 666.

It is a super-2 number, since 2×3344332320² = 22369117333193164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54825090 + ... + 54825150.

It is an arithmetic number, because the mean of its divisors is an integer number (18553500).

Almost surely, 2^3344332320 is an apocalyptic number.

3344332320 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 3344332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124544000).

3344332320 is an abundant number, since it is smaller than the sum of its proper divisors (10904755680).

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

3344332320 is a wasteful number, since it uses less digits than its factorization.

3344332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

The square root of 3344332320 is about 57830.2024897026. The cubic root of 3344332320 is about 1495.4428086929.

Adding to 3344332320 its reverse (232334433), we get a palindrome (3576666753).

The spelling of 3344332320 in words is "three billion, three hundred forty-four million, three hundred thirty-two thousand, three hundred twenty".