3212108887680 has 2560 divisors, whose sum is σ = 15201868492800. Its totient is φ = 626552340480.

The previous prime is 3212108887649. The next prime is 3212108887753. The reversal of 3212108887680 is 867888012123.

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 319 ways as a sum of consecutive naturals, for example, 5416709464 + ... + 5416710056.

It is an arithmetic number, because the mean of its divisors is an integer number (5938229880).

Almost surely, 2^{3212108887680} is an apocalyptic number.

3212108887680 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 3212108887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7600934246400).

3212108887680 is an abundant number, since it is smaller than the sum of its proper divisors (11989759605120).

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

3212108887680 is a wasteful number, since it uses less digits than its factorization.

3212108887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 3212108887680 in words is "three trillion, two hundred twelve billion, one hundred eight million, eight hundred eighty-seven thousand, six hundred eighty".