3344422320 has 120 divisors (see below), whose sum is σ = 11243700000. Its totient is φ = 890892288.

The previous prime is 3344422307. The next prime is 3344422343. The reversal of 3344422320 is 232244433.

3344422320 is a `hidden beast` number, since 334 + 4 + 4 + 2 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×3344422320³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 897421 + ... + 901139.

It is an arithmetic number, because the mean of its divisors is an integer number (93697500).

Almost surely, 2^3344422320 is an apocalyptic number.

3344422320 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 3344422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621850000).

3344422320 is an abundant number, since it is smaller than the sum of its proper divisors (7899277680).

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

3344422320 is a wasteful number, since it uses less digits than its factorization.

3344422320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4987 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3344422320 is about 57830.9806245753. The cubic root of 3344422320 is about 1495.4562232933.

Adding to 3344422320 its reverse (232244433), we get a palindrome (3576666753).

The spelling of 3344422320 in words is "three billion, three hundred forty-four million, four hundred twenty-two thousand, three hundred twenty".