3382909458432 has 192 divisors, whose sum is σ = 10482010156800. Its totient is φ = 950162718720.

The previous prime is 3382909458421. The next prime is 3382909458451. The reversal of 3382909458432 is 2348549092833.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3382909458432² (a number of 26 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1870882 + ... + 3204062.

It is an arithmetic number, because the mean of its divisors is an integer number (54593802900).

Almost surely, 2^{3382909458432} is an apocalyptic number.

3382909458432 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 3382909458432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241005078400).

3382909458432 is an abundant number, since it is smaller than the sum of its proper divisors (7099100698368).

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

3382909458432 is a wasteful number, since it uses less digits than its factorization.

3382909458432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333272 (or 1333252 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 60.

The spelling of 3382909458432 in words is "three trillion, three hundred eighty-two billion, nine hundred nine million, four hundred fifty-eight thousand, four hundred thirty-two".