3066634355400 has 2880 divisors, whose sum is σ = 14558512034880. Its totient is φ = 589433241600.

The previous prime is 3066634355381. The next prime is 3066634355429. The reversal of 3066634355400 is 45534366603.

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 719 ways as a sum of consecutive naturals, for example, 10836163659 + ... + 10836163941.

It is an arithmetic number, because the mean of its divisors is an integer number (5055038901).

Almost surely, 2^{3066634355400} is an apocalyptic number.

3066634355400 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 3066634355400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279256017440).

3066634355400 is an abundant number, since it is smaller than the sum of its proper divisors (11491877679480).

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

3066634355400 is a wasteful number, since it uses less digits than its factorization.

3066634355400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 3066634355400 in words is "three trillion, sixty-six billion, six hundred thirty-four million, three hundred fifty-five thousand, four hundred".