3353335440 has 320 divisors, whose sum is σ = 13040165376. Its totient is φ = 693927936.

The previous prime is 3353335421. The next prime is 3353335471. The reversal of 3353335440 is 445333533.

It is a super-2 number, since 2×3353335440² = 22489717146319987200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1156072 + ... + 1158968.

Almost surely, 2^3353335440 is an apocalyptic number.

3353335440 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 3353335440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6520082688).

3353335440 is an abundant number, since it is smaller than the sum of its proper divisors (9686829936).

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

3353335440 is a wasteful number, since it uses less digits than its factorization.

3353335440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 33.

The square root of 3353335440 is about 57907.9911583885. The cubic root of 3353335440 is about 1496.7835434234.

Adding to 3353335440 its reverse (445333533), we get a palindrome (3798668973).

The spelling of 3353335440 in words is "three billion, three hundred fifty-three million, three hundred thirty-five thousand, four hundred forty".