3382594135344 has 400 divisors, whose sum is σ = 10204809517056. Its totient is φ = 1080832896000.

The previous prime is 3382594135307. The next prime is 3382594135367. The reversal of 3382594135344 is 4435314952833.

3382594135344 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 5 + 94 + 13 + 534 + 4 = 666.

It is a super-3 number, since 3×3382594135344³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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 79 ways as a sum of consecutive naturals, for example, 1733773569 + ... + 1733775519.

Almost surely, 2^{3382594135344} 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 3382594135344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102404758528).

3382594135344 is an abundant number, since it is smaller than the sum of its proper divisors (6822215381712).

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

3382594135344 is a wasteful number, since it uses less digits than its factorization.

3382594135344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2551 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 3382594135344 in words is "three trillion, three hundred eighty-two billion, five hundred ninety-four million, one hundred thirty-five thousand, three hundred forty-four".