3065166347220 has 288 divisors, whose sum is σ = 9596405145600. Its totient is φ = 791504462592.

The previous prime is 3065166347183. The next prime is 3065166347261. The reversal of 3065166347220 is 227436615603.

3065166347220 is a `hidden beast` number, since 3 + 0 + 6 + 5 + 1 + 6 + 634 + 7 + 2 + 2 + 0 = 666.

It is a super-2 number, since 2×3065166347220² (a number of 26 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 940521951 + ... + 940525209.

It is an arithmetic number, because the mean of its divisors is an integer number (33320851200).

Almost surely, 2^{3065166347220} is an apocalyptic number.

3065166347220 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 3065166347220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798202572800).

3065166347220 is an abundant number, since it is smaller than the sum of its proper divisors (6531238798380).

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

3065166347220 is a wasteful number, since it uses less digits than its factorization.

3065166347220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4467 (or 4462 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 3065166347220 in words is "three trillion, sixty-five billion, one hundred sixty-six million, three hundred forty-seven thousand, two hundred twenty".