3146981760 has 256 divisors, whose sum is σ = 12003768000. Its totient is φ = 774586368.

The previous prime is 3146981749. The next prime is 3146981779. The reversal of 3146981760 is 671896413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217636 + ... + 231644.

Almost surely, 2^3146981760 is an apocalyptic number.

3146981760 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 3146981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6001884000).

3146981760 is an abundant number, since it is smaller than the sum of its proper divisors (8856786240).

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

3146981760 is a wasteful number, since it uses less digits than its factorization.

3146981760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14050 (or 14032 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3146981760 is about 56097.9657385185. The cubic root of 3146981760 is about 1465.4288656544.

It can be divided in two parts, 3146 and 981760, that added together give a triangular number (984906 = T₁₄₀₃).

The spelling of 3146981760 in words is "three billion, one hundred forty-six million, nine hundred eighty-one thousand, seven hundred sixty".