3009462923124 has 648 divisors, whose sum is σ = 9775352976480. Its totient is φ = 777288960000.

The previous prime is 3009462923041. The next prime is 3009462923147. The reversal of 3009462923124 is 4213292649003.

3009462923124 is a `hidden beast` number, since 3 + 0 + 0 + 9 + 4 + 629 + 2 + 3 + 12 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3009462923124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3710804679 + ... + 3710805489.

It is an arithmetic number, because the mean of its divisors is an integer number (15085421260).

Almost surely, 2^{3009462923124} is an apocalyptic number.

3009462923124 is a gapful number since it is divisible by the number (34) 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 3009462923124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4887676488240).

3009462923124 is an abundant number, since it is smaller than the sum of its proper divisors (6765890053356).

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

3009462923124 is a wasteful number, since it uses less digits than its factorization.

3009462923124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 3009462923124 in words is "three trillion, nine billion, four hundred sixty-two million, nine hundred twenty-three thousand, one hundred twenty-four".