3234196135296 has 512 divisors, whose sum is σ = 11571241651200. Its totient is φ = 868153393152.

The previous prime is 3234196135277. The next prime is 3234196135361. The reversal of 3234196135296 is 6925316914323.

3234196135296 is a `hidden beast` number, since 3 + 2 + 3 + 4 + 19 + 613 + 5 + 2 + 9 + 6 = 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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241405270 + ... + 241418666.

It is an arithmetic number, because the mean of its divisors is an integer number (22600081350).

Almost surely, 2^{3234196135296} is an apocalyptic number.

3234196135296 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 3234196135296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5785620825600).

3234196135296 is an abundant number, since it is smaller than the sum of its proper divisors (8337045515904).

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

3234196135296 is a wasteful number, since it uses less digits than its factorization.

3234196135296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14031 (or 14013 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The spelling of 3234196135296 in words is "three trillion, two hundred thirty-four billion, one hundred ninety-six million, one hundred thirty-five thousand, two hundred ninety-six".