3146507729480 has 64 divisors (see below), whose sum is σ = 7254171207360. Its totient is φ = 1227655634688.

The previous prime is 3146507729471. The next prime is 3146507729531. The reversal of 3146507729480 is 849277056413.

It is a super-2 number, since 2×3146507729480² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12899 + ... + 2508621.

It is an arithmetic number, because the mean of its divisors is an integer number (113346425115).

It is a 1-persistent number, because it is pandigital, but 2⋅3146507729480 = 6293015458960 is not.

Almost surely, 2^{3146507729480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3146507729480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627085603680).

3146507729480 is an abundant number, since it is smaller than the sum of its proper divisors (4107663477880).

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

3146507729480 is a wasteful number, since it uses less digits than its factorization.

3146507729480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496510 (or 2496506 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 3146507729480 in words is "three trillion, one hundred forty-six billion, five hundred seven million, seven hundred twenty-nine thousand, four hundred eighty".