3042400017888 has 480 divisors, whose sum is σ = 11163906673920. Its totient is φ = 789636003840.

The previous prime is 3042400017817. The next prime is 3042400017901. The reversal of 3042400017888 is 8887100042403.

3042400017888 is a `hidden beast` number, since 30 + 42 + 400 + 0 + 178 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 303961428 + ... + 303971436.

It is an arithmetic number, because the mean of its divisors is an integer number (23258138904).

Almost surely, 2^{3042400017888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3042400017888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581953336960).

3042400017888 is an abundant number, since it is smaller than the sum of its proper divisors (8121506656032).

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

3042400017888 is a wasteful number, since it uses less digits than its factorization.

3042400017888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11572 (or 11555 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 3042400017888 in words is "three trillion, forty-two billion, four hundred million, seventeen thousand, eight hundred eighty-eight".