3042130790880 has 288 divisors, whose sum is σ = 10679569939584. Its totient is φ = 788176723968.

The previous prime is 3042130790861. The next prime is 3042130790887. The reversal of 3042130790880 is 880970312403.

3042130790880 is a `hidden beast` number, since 30 + 421 + 30 + 7 + 90 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042130790887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9108114 + ... + 9436206.

It is an arithmetic number, because the mean of its divisors is an integer number (37081840068).

Almost surely, 2^{3042130790880} is an apocalyptic number.

3042130790880 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 3042130790880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5339784969792).

3042130790880 is an abundant number, since it is smaller than the sum of its proper divisors (7637439148704).

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

3042130790880 is a wasteful number, since it uses less digits than its factorization.

3042130790880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328298 (or 328287 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 3042130790880 in words is "three trillion, forty-two billion, one hundred thirty million, seven hundred ninety thousand, eight hundred eighty".