3391342268832 has 864 divisors, whose sum is σ = 12213169113600. Its totient is φ = 904842731520.

The previous prime is 3391342268827. The next prime is 3391342268861. The reversal of 3391342268832 is 2388622431933.

It is a happy number.

3391342268832 is a `hidden beast` number, since 3 + 3 + 9 + 1 + 342 + 268 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a nude number because it is divisible by every one of its digits.

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 143 ways as a sum of consecutive naturals, for example, 3722658457 + ... + 3722659367.

It is an arithmetic number, because the mean of its divisors is an integer number (14135612400).

Almost surely, 2^{3391342268832} is an apocalyptic number.

3391342268832 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 3391342268832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106584556800).

3391342268832 is an abundant number, since it is smaller than the sum of its proper divisors (8821826844768).

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

3391342268832 is an equidigital number, since it uses as much as digits as its factorization.

3391342268832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1089 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 3391342268832 in words is "three trillion, three hundred ninety-one billion, three hundred forty-two million, two hundred sixty-eight thousand, eight hundred thirty-two".