3126135480 has 256 divisors, whose sum is σ = 10528358400. Its totient is φ = 737372160.

The previous prime is 3126135469. The next prime is 3126135521. The reversal of 3126135480 is 845316213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6141466 + ... + 6141974.

It is an arithmetic number, because the mean of its divisors is an integer number (41126400).

Almost surely, 2^3126135480 is an apocalyptic number.

3126135480 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 3126135480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264179200).

3126135480 is an abundant number, since it is smaller than the sum of its proper divisors (7402222920).

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

3126135480 is a wasteful number, since it uses less digits than its factorization.

3126135480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3126135480 is about 55911.8545569721. The cubic root of 3126135480 is about 1462.1859230590.

The spelling of 3126135480 in words is "three billion, one hundred twenty-six million, one hundred thirty-five thousand, four hundred eighty".