3066840604400 has 120 divisors (see below), whose sum is σ = 7462772352000. Its totient is φ = 1210994840320.

The previous prime is 3066840604367. The next prime is 3066840604423. The reversal of 3066840604400 is 44060486603.

It is a super-2 number, since 2×3066840604400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42559601 + ... + 42631599.

It is an arithmetic number, because the mean of its divisors is an integer number (62189769600).

Almost surely, 2^{3066840604400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3066840604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731386176000).

3066840604400 is an abundant number, since it is smaller than the sum of its proper divisors (4395931747600).

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

3066840604400 is a wasteful number, since it uses less digits than its factorization.

3066840604400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73383 (or 73372 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The spelling of 3066840604400 in words is "three trillion, sixty-six billion, eight hundred forty million, six hundred four thousand, four hundred".