3338807472 has 480 divisors, whose sum is σ = 13109160960. Its totient is φ = 799787520.

The previous prime is 3338807441. The next prime is 3338807519. The reversal of 3338807472 is 2747088333.

It is a super-2 number, since 2×3338807472² = 22295270670166061568, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3026473 + ... + 3027575.

It is an arithmetic number, because the mean of its divisors is an integer number (27310752).

Almost surely, 2^3338807472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3338807472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6554580480).

3338807472 is an abundant number, since it is smaller than the sum of its proper divisors (9770353488).

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

3338807472 is a wasteful number, since it uses less digits than its factorization.

3338807472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 3338807472 is about 57782.4149028059. The cubic root of 3338807472 is about 1494.6188626583.

The spelling of 3338807472 in words is "three billion, three hundred thirty-eight million, eight hundred seven thousand, four hundred seventy-two".