3388083229440 has 648 divisors, whose sum is σ = 14506918564320. Its totient is φ = 714845454336.

The previous prime is 3388083229393. The next prime is 3388083229519. The reversal of 3388083229440 is 449223808833.

3388083229440 is a `hidden beast` number, since 338 + 8 + 0 + 83 + 229 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×3388083229440² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13503856 + ... + 13752464.

Almost surely, 2^{3388083229440} is an apocalyptic number.

3388083229440 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 3388083229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7253459282160).

3388083229440 is an abundant number, since it is smaller than the sum of its proper divisors (11118835334880).

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

3388083229440 is a wasteful number, since it uses less digits than its factorization.

3388083229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248669 (or 248639 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 3388083229440 in words is "three trillion, three hundred eighty-eight billion, eighty-three million, two hundred twenty-nine thousand, four hundred forty".