3382424136000 has 4032 divisors, whose sum is σ = 16400456017920. Its totient is φ = 679311360000.

The previous prime is 3382424135977. The next prime is 3382424136029. The reversal of 3382424136000 is 6314242833.

3382424136000 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 4 + 2 + 41 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×3382424136000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 55449575970 + ... + 55449576030.

Almost surely, 2^{3382424136000} is an apocalyptic number.

3382424136000 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 3382424136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8200228008960).

3382424136000 is an abundant number, since it is smaller than the sum of its proper divisors (13018031881920).

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

3382424136000 is a wasteful number, since it uses less digits than its factorization.

3382424136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 3382424136000 its reverse (6314242833), we get a palindrome (3388738378833).

The spelling of 3382424136000 in words is "three trillion, three hundred eighty-two billion, four hundred twenty-four million, one hundred thirty-six thousand".