3020730408000 has 560 divisors, whose sum is σ = 11832481078704. Its totient is φ = 758141337600.

The previous prime is 3020730407999. The next prime is 3020730408001. The reversal of 3020730408000 is 8040370203.

It is an interprime number because it is at equal distance from previous prime (3020730407999) and next prime (3020730408001).

It can be written as a sum of positive squares in 8 ways, for example, as 1092342703104 + 1928387704896 = 1045152^2 + 1388664^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3020730408001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 10878894 + ... + 11153106.

Almost surely, 2^{3020730408000} is an apocalyptic number.

3020730408000 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 3020730408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5916240539352).

3020730408000 is an abundant number, since it is smaller than the sum of its proper divisors (8811750670704).

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

3020730408000 is a wasteful number, since it uses less digits than its factorization.

3020730408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274269 (or 274240 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 3020730408000 its reverse (8040370203), we get a palindrome (3028770778203).

The spelling of 3020730408000 in words is "three trillion, twenty billion, seven hundred thirty million, four hundred eight thousand".