3198890531760 has 960 divisors, whose sum is σ = 13347039306240. Its totient is φ = 624548413440.

The previous prime is 3198890531747. The next prime is 3198890531779. The reversal of 3198890531760 is 671350988913.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3198890531694 and 3198890531703.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2192521911 + ... + 2192523369.

It is an arithmetic number, because the mean of its divisors is an integer number (13903165944).

Almost surely, 2^{3198890531760} is an apocalyptic number.

3198890531760 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 3198890531760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6673519653120).

3198890531760 is an abundant number, since it is smaller than the sum of its proper divisors (10148148774480).

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

3198890531760 is a wasteful number, since it uses less digits than its factorization.

3198890531760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 60.

The spelling of 3198890531760 in words is "three trillion, one hundred ninety-eight billion, eight hundred ninety million, five hundred thirty-one thousand, seven hundred sixty".