3023644140000 has 1680 divisors, whose sum is σ = 12894024029040. Its totient is φ = 689264640000.

The previous prime is 3023644139963. The next prime is 3023644140001. The reversal of 3023644140000 is 414463203.

3023644140000 is a `hidden beast` number, since 3 + 0 + 2 + 3 + 644 + 14 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3023644140001) by changing a digit.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 2726459446 + ... + 2726460554.

It is an arithmetic number, because the mean of its divisors is an integer number (7675014303).

Almost surely, 2^{3023644140000} is an apocalyptic number.

3023644140000 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 3023644140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6447012014520).

3023644140000 is an abundant number, since it is smaller than the sum of its proper divisors (9870379889040).

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

3023644140000 is a wasteful number, since it uses less digits than its factorization.

3023644140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 3023644140000 in words is "three trillion, twenty-three billion, six hundred forty-four million, one hundred forty thousand".