3042261396720 has 2880 divisors, whose sum is σ = 14426346654720. Its totient is φ = 566524772352.

The previous prime is 3042261396709. The next prime is 3042261396731. The reversal of 3042261396720 is 276931622403.

3042261396720 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 2 + 613 + 9 + 6 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3042261396709) and next prime (3042261396731).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8618304064 + ... + 8618304416.

It is an arithmetic number, because the mean of its divisors is an integer number (5009148144).

Almost surely, 2^{3042261396720} is an apocalyptic number.

3042261396720 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 3042261396720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7213173327360).

3042261396720 is an abundant number, since it is smaller than the sum of its proper divisors (11384085258000).

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

3042261396720 is a wasteful number, since it uses less digits than its factorization.

3042261396720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 3042261396720 in words is "three trillion, forty-two billion, two hundred sixty-one million, three hundred ninety-six thousand, seven hundred twenty".