3384415209472 has 288 divisors, whose sum is σ = 8290564682400. Its totient is φ = 1371641610240.

The previous prime is 3384415209467. The next prime is 3384415209503. The reversal of 3384415209472 is 2749025144833.

3384415209472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3384415209472² (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 23 ways as a sum of consecutive naturals, for example, 80020843 + ... + 80063125.

It is an arithmetic number, because the mean of its divisors is an integer number (28786682925).

Almost surely, 2^{3384415209472} is an apocalyptic number.

3384415209472 is a gapful number since it is divisible by the number (32) 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 3384415209472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145282341200).

3384415209472 is an abundant number, since it is smaller than the sum of its proper divisors (4906149472928).

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

3384415209472 is a wasteful number, since it uses less digits than its factorization.

3384415209472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42363 (or 42332 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 3384415209472 in words is "three trillion, three hundred eighty-four billion, four hundred fifteen million, two hundred nine thousand, four hundred seventy-two".