3234959824896 has 168 divisors, whose sum is σ = 9698078147940. Its totient is φ = 1078319443968.

The previous prime is 3234959824871. The next prime is 3234959824931. The reversal of 3234959824896 is 6984289594323.

It is a happy number.

3234959824896 is a `hidden beast` number, since 3 + 2 + 3 + 4 + 9 + 598 + 24 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 409611 + ... + 2576373.

Almost surely, 2^{3234959824896} is an apocalyptic number.

3234959824896 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 3234959824896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4849039073970).

3234959824896 is an abundant number, since it is smaller than the sum of its proper divisors (6463118323044).

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

3234959824896 is an frugal number, since it uses more digits than its factorization.

3234959824896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166803 (or 2166768 counting only the distinct ones).

The product of its digits is 806215680, while the sum is 72.

The spelling of 3234959824896 in words is "three trillion, two hundred thirty-four billion, nine hundred fifty-nine million, eight hundred twenty-four thousand, eight hundred ninety-six".