3102743040 has 320 divisors, whose sum is σ = 10412012160. Its totient is φ = 787415040.

The previous prime is 3102743027. The next prime is 3102743047. The reversal of 3102743040 is 403472013.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3102743040.

It is not an unprimeable number, because it can be changed into a prime (3102743047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17333671 + ... + 17333849.

It is an arithmetic number, because the mean of its divisors is an integer number (32537538).

Almost surely, 2^3102743040 is an apocalyptic number.

3102743040 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 3102743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5206006080).

3102743040 is an abundant number, since it is smaller than the sum of its proper divisors (7309269120).

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

3102743040 is a wasteful number, since it uses less digits than its factorization.

3102743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 3102743040 is about 55702.2714079058. The cubic root of 3102743040 is about 1458.5296763415.

The spelling of 3102743040 in words is "three billion, one hundred two million, seven hundred forty-three thousand, forty".