3343415040 has 324 divisors, whose sum is σ = 13458771144. Its totient is φ = 764080128.

The previous prime is 3343415027. The next prime is 3343415083. The reversal of 3343415040 is 405143433.

It is a super-2 number, since 2×3343415040² = 22356848259396403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3343414995 and 3343415013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 561519 + ... + 567441.

Almost surely, 2^3343415040 is an apocalyptic number.

3343415040 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 3343415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729385572).

3343415040 is an abundant number, since it is smaller than the sum of its proper divisors (10115356104).

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

3343415040 is a wasteful number, since it uses less digits than its factorization.

3343415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5964 (or 5940 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3343415040 is about 57822.2711418360. The cubic root of 3343415040 is about 1495.3060733567.

Adding to 3343415040 its reverse (405143433), we get a palindrome (3748558473).

The spelling of 3343415040 in words is "three billion, three hundred forty-three million, four hundred fifteen thousand, forty".