3466860022080 has 896 divisors, whose sum is σ = 15068609740800. Its totient is φ = 730696163328.

The previous prime is 3466860022013. The next prime is 3466860022081. The reversal of 3466860022080 is 802200686643.

3466860022080 is a `hidden beast` number, since 34 + 6 + 6 + 8 + 600 + 2 + 2 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3466860022081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1037048889 + ... + 1037052231.

It is an arithmetic number, because the mean of its divisors is an integer number (16817644800).

Almost surely, 2^{3466860022080} is an apocalyptic number.

3466860022080 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 3466860022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7534304870400).

3466860022080 is an abundant number, since it is smaller than the sum of its proper divisors (11601749718720).

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

3466860022080 is a wasteful number, since it uses less digits than its factorization.

3466860022080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 3466860022080 in words is "three trillion, four hundred sixty-six billion, eight hundred sixty million, twenty-two thousand, eighty".