3042966081600 has 378 divisors, whose sum is σ = 11489060415534. Its totient is φ = 763723776000.

The previous prime is 3042966081581. The next prime is 3042966081613. The reversal of 3042966081600 is 61806692403.

3042966081600 is a `hidden beast` number, since 3 + 0 + 4 + 29 + 6 + 608 + 16 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 478022897664 + 2564943183936 = 691392^2 + 1601544^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3796000 + ... + 4527200.

Almost surely, 2^{3042966081600} is an apocalyptic number.

3042966081600 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 3042966081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5744530207767).

3042966081600 is an abundant number, since it is smaller than the sum of its proper divisors (8446094333934).

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

3042966081600 is a wasteful number, since it uses less digits than its factorization.

3042966081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731263 (or 731228 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 3042966081600 in words is "three trillion, forty-two billion, nine hundred sixty-six million, eighty-one thousand, six hundred".