3343000320 has 864 divisors, whose sum is σ = 13958590464. Its totient is φ = 729907200.

The previous prime is 3343000307. The next prime is 3343000321. The reversal of 3343000320 is 230003433.

3343000320 is a `hidden beast` number, since 3 + 343 + 0 + 0 + 0 + 320 = 666.

It is a super-2 number, since 2×3343000320² = 22351302279040204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3343000293 and 3343000302.

It is not an unprimeable number, because it can be changed into a prime (3343000321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90351342 + ... + 90351378.

It is an arithmetic number, because the mean of its divisors is an integer number (16155776).

Almost surely, 2^3343000320 is an apocalyptic number.

3343000320 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 3343000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6979295232).

3343000320 is an abundant number, since it is smaller than the sum of its proper divisors (10615590144).

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

3343000320 is a wasteful number, since it uses less digits than its factorization.

3343000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 3343000320 is about 57818.6848691666. The cubic root of 3343000320 is about 1495.2442444613.

Adding to 3343000320 its reverse (230003433), we get a palindrome (3573003753).

The spelling of 3343000320 in words is "three billion, three hundred forty-three million, three hundred twenty", and thus it is an aban number.