3347039040 has 224 divisors, whose sum is σ = 10922325120. Its totient is φ = 868048896.

The previous prime is 3347039027. The next prime is 3347039071. The reversal of 3347039040 is 409307433.

It is a super-3 number, since 3×3347039040³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3347038992 and 3347039010.

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 31 ways as a sum of consecutive naturals, for example, 7987951 + ... + 7988369.

It is an arithmetic number, because the mean of its divisors is an integer number (48760380).

Almost surely, 2^3347039040 is an apocalyptic number.

3347039040 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 3347039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5461162560).

3347039040 is an abundant number, since it is smaller than the sum of its proper divisors (7575286080).

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

3347039040 is a wasteful number, since it uses less digits than its factorization.

3347039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 3347039040 is about 57853.6000608432. The cubic root of 3347039040 is about 1495.8461431560.

The spelling of 3347039040 in words is "three billion, three hundred forty-seven million, thirty-nine thousand, forty".