3241343952000 has 2304 divisors, whose sum is σ = 15107802428160. Its totient is φ = 671846400000.

The previous prime is 3241343951959. The next prime is 3241343952043. The reversal of 3241343952000 is 2593431423.

3241343952000 is a `hidden beast` number, since 3 + 2 + 4 + 13 + 439 + 5 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8083151800 + ... + 8083152200.

It is an arithmetic number, because the mean of its divisors is an integer number (6557205915).

Almost surely, 2^{3241343952000} is an apocalyptic number.

3241343952000 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 3241343952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7553901214080).

3241343952000 is an abundant number, since it is smaller than the sum of its proper divisors (11866458476160).

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

3241343952000 is an frugal number, since it uses more digits than its factorization.

3241343952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 3241343952000 in words is "three trillion, two hundred forty-one billion, three hundred forty-three million, nine hundred fifty-two thousand".