3466128825810 has 192 divisors, whose sum is σ = 10970504842752. Its totient is φ = 741189224448.

The previous prime is 3466128825791. The next prime is 3466128825811. The reversal of 3466128825810 is 185288216643.

3466128825810 is a `hidden beast` number, since 3 + 4 + 6 + 612 + 8 + 8 + 2 + 5 + 8 + 10 = 666.

It is a super-2 number, since 2×3466128825810² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3466128825811) 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 95 ways as a sum of consecutive naturals, for example, 819604 + ... + 2757536.

It is an arithmetic number, because the mean of its divisors is an integer number (57138046056).

Almost surely, 2^{3466128825810} is an apocalyptic number.

3466128825810 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3466128825810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485252421376).

3466128825810 is an abundant number, since it is smaller than the sum of its proper divisors (7504376016942).

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

3466128825810 is a wasteful number, since it uses less digits than its factorization.

3466128825810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938137 (or 1938134 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 3466128825810 in words is "three trillion, four hundred sixty-six billion, one hundred twenty-eight million, eight hundred twenty-five thousand, eight hundred ten".