3020846142720 has 864 divisors, whose sum is σ = 11910435747840. Its totient is φ = 649209200640.

The previous prime is 3020846142719. The next prime is 3020846142737. The reversal of 3020846142720 is 272416480203.

It is a happy number.

It is a super-2 number, since 2×3020846142720² (a number of 26 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 255327205 + ... + 255339035.

It is an arithmetic number, because the mean of its divisors is an integer number (13785226560).

Almost surely, 2^{3020846142720} is an apocalyptic number.

3020846142720 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 3020846142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5955217873920).

3020846142720 is an abundant number, since it is smaller than the sum of its proper divisors (8889589605120).

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

3020846142720 is a wasteful number, since it uses less digits than its factorization.

3020846142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11951 (or 11930 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 3020846142720 in words is "three trillion, twenty billion, eight hundred forty-six million, one hundred forty-two thousand, seven hundred twenty".