3042642731520 has 960 divisors, whose sum is σ = 11609375880960. Its totient is φ = 665882198016.

The previous prime is 3042642731449. The next prime is 3042642731567. The reversal of 3042642731520 is 251372462403.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7821703486 + ... + 7821703874.

It is an arithmetic number, because the mean of its divisors is an integer number (12093099876).

Almost surely, 2^{3042642731520} is an apocalyptic number.

3042642731520 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 3042642731520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804687940480).

3042642731520 is an abundant number, since it is smaller than the sum of its proper divisors (8566733149440).

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

3042642731520 is a wasteful number, since it uses less digits than its factorization.

3042642731520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 3042642731520 in words is "three trillion, forty-two billion, six hundred forty-two million, seven hundred thirty-one thousand, five hundred twenty".