3124500480 has 240 divisors, whose sum is σ = 11202150960. Its totient is φ = 832978944.

The previous prime is 3124500469. The next prime is 3124500493. The reversal of 3124500480 is 840054213.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 827557 + ... + 831323.

It is an arithmetic number, because the mean of its divisors is an integer number (46675629).

Almost surely, 2^3124500480 is an apocalyptic number.

3124500480 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 3124500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601075480).

3124500480 is an abundant number, since it is smaller than the sum of its proper divisors (8077650480).

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

3124500480 is an equidigital number, since it uses as much as digits as its factorization.

3124500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3777 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 3124500480 is about 55897.2314162338. The cubic root of 3124500480 is about 1461.9309660039.

Adding to 3124500480 its reverse (840054213), we get a palindrome (3964554693).

The spelling of 3124500480 in words is "three billion, one hundred twenty-four million, five hundred thousand, four hundred eighty".