3212683541760 has 2304 divisors, whose sum is σ = 14105522995200. Its totient is φ = 615960576000.

The previous prime is 3212683541701. The next prime is 3212683541779. The reversal of 3212683541760 is 671453862123.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10330172005 + ... + 10330172315.

It is an arithmetic number, because the mean of its divisors is an integer number (6122188800).

Almost surely, 2^{3212683541760} is an apocalyptic number.

3212683541760 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 3212683541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7052761497600).

3212683541760 is an abundant number, since it is smaller than the sum of its proper divisors (10892839453440).

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

3212683541760 is a wasteful number, since it uses less digits than its factorization.

3212683541760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 3212683541760 in words is "three trillion, two hundred twelve billion, six hundred eighty-three million, five hundred forty-one thousand, seven hundred sixty".