3212079675840 has 784 divisors, whose sum is σ = 13676166102528. Its totient is φ = 702260140032.

The previous prime is 3212079675839. The next prime is 3212079675877. The reversal of 3212079675840 is 485769702123.

It is a happy number.

3212079675840 is a `hidden beast` number, since 32 + 1 + 20 + 7 + 9 + 6 + 7 + 584 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 37515319 + ... + 37600841.

It is a 1-persistent number, because it is pandigital, but 2⋅3212079675840 = 6424159351680 is not.

Almost surely, 2^{3212079675840} is an apocalyptic number.

3212079675840 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 3212079675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6838083051264).

3212079675840 is an abundant number, since it is smaller than the sum of its proper divisors (10464086426688).

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

3212079675840 is an equidigital number, since it uses as much as digits as its factorization.

3212079675840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85588 (or 85563 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 3212079675840 in words is "three trillion, two hundred twelve billion, seventy-nine million, six hundred seventy-five thousand, eight hundred forty".