3000366304056 has 384 divisors, whose sum is σ = 9634712371200. Its totient is φ = 862801632000.

The previous prime is 3000366304051. The next prime is 3000366304093. The reversal of 3000366304056 is 6504036630003.

It is a happy number.

It is a super-2 number, since 2×3000366304056² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3000366304056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000366304051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76323606 + ... + 76362906.

It is an arithmetic number, because the mean of its divisors is an integer number (25090396800).

Almost surely, 2^{3000366304056} is an apocalyptic number.

3000366304056 is a gapful number since it is divisible by the number (36) 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 3000366304056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4817356185600).

3000366304056 is an abundant number, since it is smaller than the sum of its proper divisors (6634346067144).

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

3000366304056 is a wasteful number, since it uses less digits than its factorization.

3000366304056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39488 (or 39467 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 3000366304056 in words is "three trillion, three hundred sixty-six million, three hundred four thousand, fifty-six".