3185979666240 has 448 divisors, whose sum is σ = 11805632593920. Its totient is φ = 712889303040.

The previous prime is 3185979666179. The next prime is 3185979666257. The reversal of 3185979666240 is 426669795813.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95535009 + ... + 95568351.

It is a 2-persistent number, because it is pandigital, and so is 2⋅3185979666240 = 6371959332480, but 3⋅3185979666240 = 9557938998720 is not.

Almost surely, 2^{3185979666240} is an apocalyptic number.

3185979666240 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 3185979666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5902816296960).

3185979666240 is an abundant number, since it is smaller than the sum of its proper divisors (8619652927680).

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

3185979666240 is a wasteful number, since it uses less digits than its factorization.

3185979666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33670 (or 33660 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 66.

The spelling of 3185979666240 in words is "three trillion, one hundred eighty-five billion, nine hundred seventy-nine million, six hundred sixty-six thousand, two hundred forty".