3242992896000 has 3072 divisors, whose sum is σ = 14990703436800. Its totient is φ = 679477248000.

The previous prime is 3242992895929. The next prime is 3242992896067. The reversal of 3242992896000 is 6982992423.

3242992896000 is a `hidden beast` number, since 3 + 2 + 4 + 2 + 9 + 9 + 28 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16803071904 + ... + 16803072096.

It is an arithmetic number, because the mean of its divisors is an integer number (4879786275).

Almost surely, 2^{3242992896000} is an apocalyptic number.

3242992896000 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 3242992896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7495351718400).

3242992896000 is an abundant number, since it is smaller than the sum of its proper divisors (11747710540800).

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

3242992896000 is a wasteful number, since it uses less digits than its factorization.

3242992896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 3242992896000 in words is "three trillion, two hundred forty-two billion, nine hundred ninety-two million, eight hundred ninety-six thousand".