3080769892200 has 4032 divisors, whose sum is σ = 15444467740800. Its totient is φ = 554273280000.

The previous prime is 3080769892163. The next prime is 3080769892237. The reversal of 3080769892200 is 22989670803.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3080769892163) and next prime (3080769892237).

It is a super-3 number, since 3×3080769892200³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 30502672150 + ... + 30502672250.

It is an arithmetic number, because the mean of its divisors is an integer number (3830473150).

Almost surely, 2^{3080769892200} is an apocalyptic number.

3080769892200 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 3080769892200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7722233870400).

3080769892200 is an abundant number, since it is smaller than the sum of its proper divisors (12363697848600).

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

3080769892200 is a wasteful number, since it uses less digits than its factorization.

3080769892200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 3080769892200 in words is "three trillion, eighty billion, seven hundred sixty-nine million, eight hundred ninety-two thousand, two hundred".