3382604184960 has 2048 divisors, whose sum is σ = 16195247308800. Its totient is φ = 644375347200.

The previous prime is 3382604184959. The next prime is 3382604184989. The reversal of 3382604184960 is 694814062833.

3382604184960 is a `hidden beast` number, since 3 + 3 + 82 + 60 + 4 + 18 + 496 + 0 = 666.

3382604184960 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 2×3382604184960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3382604184897 and 3382604184906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2888645175 + ... + 2888646345.

It is an arithmetic number, because the mean of its divisors is an integer number (7907835600).

Almost surely, 2^{3382604184960} is an apocalyptic number.

3382604184960 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 3382604184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8097623654400).

3382604184960 is an abundant number, since it is smaller than the sum of its proper divisors (12812643123840).

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

3382604184960 is a wasteful number, since it uses less digits than its factorization.

3382604184960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 3382604184960 in words is "three trillion, three hundred eighty-two billion, six hundred four million, one hundred eighty-four thousand, nine hundred sixty".