3124013040 has 240 divisors, whose sum is σ = 10868116896. Its totient is φ = 803635200.

The previous prime is 3124013033. The next prime is 3124013059. The reversal of 3124013040 is 403104213.

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2862895 + ... + 2863985.

Almost surely, 2^3124013040 is an apocalyptic number.

3124013040 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 3124013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434058448).

3124013040 is an abundant number, since it is smaller than the sum of its proper divisors (7744103856).

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

3124013040 is a wasteful number, since it uses less digits than its factorization.

3124013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3124013040 is about 55892.8711017783. The cubic root of 3124013040 is about 1461.8549388443.

Adding to 3124013040 its reverse (403104213), we get a palindrome (3527117253).

The spelling of 3124013040 in words is "three billion, one hundred twenty-four million, thirteen thousand, forty".