3149140976460 has 240 divisors, whose sum is σ = 10081979772480. Its totient is φ = 822664926720.

The previous prime is 3149140976431. The next prime is 3149140976477. The reversal of 3149140976460 is 646790419413.

3149140976460 is a `hidden beast` number, since 3 + 1 + 4 + 91 + 4 + 0 + 97 + 6 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3149140976397 and 3149140976406.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17970946 + ... + 18145334.

It is an arithmetic number, because the mean of its divisors is an integer number (42008249052).

Almost surely, 2^{3149140976460} is an apocalyptic number.

3149140976460 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 3149140976460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040989886240).

3149140976460 is an abundant number, since it is smaller than the sum of its proper divisors (6932838796020).

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

3149140976460 is a wasteful number, since it uses less digits than its factorization.

3149140976460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174638 (or 174627 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 3149140976460 in words is "three trillion, one hundred forty-nine billion, one hundred forty million, nine hundred seventy-six thousand, four hundred sixty".