3212846241696 has 1728 divisors, whose sum is σ = 12444015677184. Its totient is φ = 793316229120.

The previous prime is 3212846241653. The next prime is 3212846241743. The reversal of 3212846241696 is 6961426482123.

3212846241696 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 8 + 4 + 624 + 1 + 6 + 9 + 6 = 666.

It is a super-2 number, since 2×3212846241696² (a number of 26 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 44011592316 + ... + 44011592388.

Almost surely, 2^{3212846241696} is an apocalyptic number.

3212846241696 is a gapful number since it is divisible by the number (36) 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 3212846241696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6222007838592).

3212846241696 is an abundant number, since it is smaller than the sum of its proper divisors (9231169435488).

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

3212846241696 is a wasteful number, since it uses less digits than its factorization.

3212846241696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 176 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 3212846241696 in words is "three trillion, two hundred twelve billion, eight hundred forty-six million, two hundred forty-one thousand, six hundred ninety-six".