3042021137688 has 256 divisors, whose sum is σ = 9711249408000. Its totient is φ = 874008963072.

The previous prime is 3042021137657. The next prime is 3042021137693. The reversal of 3042021137688 is 8867311202403.

3042021137688 is a `hidden beast` number, since 3 + 0 + 420 + 211 + 3 + 7 + 6 + 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 63 ways as a sum of consecutive naturals, for example, 5811583 + ... + 6313361.

It is an arithmetic number, because the mean of its divisors is an integer number (37934568000).

Almost surely, 2^{3042021137688} 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 3042021137688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855624704000).

3042021137688 is an abundant number, since it is smaller than the sum of its proper divisors (6669228270312).

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

3042021137688 is a wasteful number, since it uses less digits than its factorization.

3042021137688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501951 (or 501941 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 3042021137688 in words is "three trillion, forty-two billion, twenty-one million, one hundred thirty-seven thousand, six hundred eighty-eight".