3149127720 has 320 divisors, whose sum is σ = 11015888400. Its totient is φ = 806215680.

The previous prime is 3149127703. The next prime is 3149127721. The reversal of 3149127720 is 277219413.

3149127720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2681789796 + 467337924 = 51786^2 + 21618^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3149127721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13066800 + ... + 13067040.

Almost surely, 2^3149127720 is an apocalyptic number.

3149127720 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 3149127720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507944200).

3149127720 is an abundant number, since it is smaller than the sum of its proper divisors (7866760680).

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

3149127720 is a wasteful number, since it uses less digits than its factorization.

3149127720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 3149127720 is about 56117.0893756973. The cubic root of 3149127720 is about 1465.7618870938.

The spelling of 3149127720 in words is "three billion, one hundred forty-nine million, one hundred twenty-seven thousand, seven hundred twenty".