3242100000000 has 648 divisors, whose sum is σ = 10994478745824. Its totient is φ = 848000000000.

The previous prime is 3242099999993. The next prime is 3242100000023. The reversal of 3242100000000 is 12423.

It is a super-2 number, since 2×3242100000000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30299999947 + ... + 30300000053.

It is an arithmetic number, because the mean of its divisors is an integer number (16966788188).

Almost surely, 2^{3242100000000} is an apocalyptic number.

3242100000000 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 3242100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497239372912).

3242100000000 is an abundant number, since it is smaller than the sum of its proper divisors (7752378745824).

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

3242100000000 is an frugal number, since it uses more digits than its factorization.

3242100000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 3242100000000 its reverse (12423), we get a palindrome (3242100012423).

The spelling of 3242100000000 in words is "three trillion, two hundred forty-two billion, one hundred million", and thus it is an aban number.