3193213885680 has 1440 divisors, whose sum is σ = 13268872880640. Its totient is φ = 631306690560.

The previous prime is 3193213885651. The next prime is 3193213885681. The reversal of 3193213885680 is 865883123913.

It is a happy number.

It is a super-2 number, since 2×3193213885680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 3193213885680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3193213885681) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3889419670 + ... + 3889420490.

It is an arithmetic number, because the mean of its divisors is an integer number (9214495056).

Almost surely, 2^{3193213885680} is an apocalyptic number.

3193213885680 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 3193213885680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6634436440320).

3193213885680 is an abundant number, since it is smaller than the sum of its proper divisors (10075658994960).

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

3193213885680 is a wasteful number, since it uses less digits than its factorization.

3193213885680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 3193213885680 in words is "three trillion, one hundred ninety-three billion, two hundred thirteen million, eight hundred eighty-five thousand, six hundred eighty".