3124879920 has 240 divisors, whose sum is σ = 10969208640. Its totient is φ = 796207104.

The previous prime is 3124879909. The next prime is 3124879921. The reversal of 3124879920 is 299784213.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (3124879921) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2149914 + ... + 2151366.

It is an arithmetic number, because the mean of its divisors is an integer number (45705036).

Almost surely, 2^3124879920 is an apocalyptic number.

3124879920 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 3124879920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484604320).

3124879920 is an abundant number, since it is smaller than the sum of its proper divisors (7844328720).

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

3124879920 is a wasteful number, since it uses less digits than its factorization.

3124879920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1595 counting only the distinct ones).

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

The square root of 3124879920 is about 55900.6253990060. The cubic root of 3124879920 is about 1461.9901426772.

The spelling of 3124879920 in words is "three billion, one hundred twenty-four million, eight hundred seventy-nine thousand, nine hundred twenty".