3146315340 has 192 divisors, whose sum is σ = 10297340928. Its totient is φ = 702950400.

The previous prime is 3146315339. The next prime is 3146315351. The reversal of 3146315340 is 435136413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3146315298 and 3146315307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5815470 + ... + 5816010.

It is an arithmetic number, because the mean of its divisors is an integer number (53631984).

Almost surely, 2^3146315340 is an apocalyptic number.

3146315340 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 3146315340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5148670464).

3146315340 is an abundant number, since it is smaller than the sum of its proper divisors (7151025588).

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

3146315340 is a wasteful number, since it uses less digits than its factorization.

3146315340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 3146315340 is about 56092.0256364485. The cubic root of 3146315340 is about 1465.3254162625.

The spelling of 3146315340 in words is "three billion, one hundred forty-six million, three hundred fifteen thousand, three hundred forty".