3213993156336 has 200 divisors, whose sum is σ = 9793607732480. Its totient is φ = 1014759881856.

The previous prime is 3213993156307. The next prime is 3213993156347. The reversal of 3213993156336 is 6336513993123.

It is a happy number.

3213993156336 is a `hidden beast` number, since 3 + 2 + 13 + 9 + 9 + 31 + 563 + 36 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 209961195 + ... + 209976501.

Almost surely, 2^{3213993156336} is an apocalyptic number.

3213993156336 is a gapful number since it is divisible by the number (36) 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 3213993156336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896803866240).

3213993156336 is an abundant number, since it is smaller than the sum of its proper divisors (6579614576144).

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

3213993156336 is a wasteful number, since it uses less digits than its factorization.

3213993156336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23873 (or 23858 counting only the distinct ones).

The product of its digits is 7085880, while the sum is 54.

The spelling of 3213993156336 in words is "three trillion, two hundred thirteen billion, nine hundred ninety-three million, one hundred fifty-six thousand, three hundred thirty-six".