3234217896000 has 1680 divisors, whose sum is σ = 14810414636160. Its totient is φ = 682222694400.

The previous prime is 3234217895929. The next prime is 3234217896031. The reversal of 3234217896000 is 6987124323.

3234217896000 is a `hidden beast` number, since 3 + 2 + 34 + 2 + 1 + 7 + 8 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 766581891 + ... + 766586109.

Almost surely, 2^{3234217896000} is an apocalyptic number.

3234217896000 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 3234217896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405207318080).

3234217896000 is an abundant number, since it is smaller than the sum of its proper divisors (11576196740160).

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

3234217896000 is a wasteful number, since it uses less digits than its factorization.

3234217896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3234217896000 in words is "three trillion, two hundred thirty-four billion, two hundred seventeen million, eight hundred ninety-six thousand".