3020727790080 has 3840 divisors, whose sum is σ = 14994790272000. Its totient is φ = 579400335360.

The previous prime is 3020727790063. The next prime is 3020727790099. The reversal of 3020727790080 is 800977270203.

It is a tau number, because it is divible by the number of its divisors (3840).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 232363676154 + ... + 232363676166.

It is an arithmetic number, because the mean of its divisors is an integer number (3904893300).

Almost surely, 2^{3020727790080} is an apocalyptic number.

3020727790080 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 3020727790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7497395136000).

3020727790080 is an abundant number, since it is smaller than the sum of its proper divisors (11974062481920).

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

3020727790080 is an frugal number, since it uses more digits than its factorization.

3020727790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 3020727790080 in words is "three trillion, twenty billion, seven hundred twenty-seven million, seven hundred ninety thousand, eighty".