3146101605360 has 1600 divisors, whose sum is σ = 13614740029440. Its totient is φ = 657573396480.

The previous prime is 3146101605307. The next prime is 3146101605401. The reversal of 3146101605360 is 635061016413.

3146101605360 is a `hidden beast` number, since 3 + 1 + 4 + 6 + 10 + 1 + 605 + 36 + 0 = 666.

It is a super-2 number, since 2×3146101605360² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2878408974 + ... + 2878410066.

Almost surely, 2^{3146101605360} is an apocalyptic number.

3146101605360 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 3146101605360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807370014720).

3146101605360 is an abundant number, since it is smaller than the sum of its proper divisors (10468638424080).

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

3146101605360 is a wasteful number, since it uses less digits than its factorization.

3146101605360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 3146101605360 in words is "three trillion, one hundred forty-six billion, one hundred one million, six hundred five thousand, three hundred sixty".