3345438840 has 256 divisors, whose sum is σ = 11087798400. Its totient is φ = 803733504.

The previous prime is 3345438821. The next prime is 3345438883. The reversal of 3345438840 is 488345433.

It is a super-2 number, since 2×3345438840² = 22383922064361091200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3345438792 and 3345438801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11417734 + ... + 11418026.

Almost surely, 2^3345438840 is an apocalyptic number.

3345438840 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 3345438840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5543899200).

3345438840 is an abundant number, since it is smaller than the sum of its proper divisors (7742359560).

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

3345438840 is a wasteful number, since it uses less digits than its factorization.

3345438840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The square root of 3345438840 is about 57839.7686717366. The cubic root of 3345438840 is about 1495.6077200269.

The spelling of 3345438840 in words is "three billion, three hundred forty-five million, four hundred thirty-eight thousand, eight hundred forty".