3466197119970 has 384 divisors, whose sum is σ = 10277817580800. Its totient is φ = 830395238400.

The previous prime is 3466197119953. The next prime is 3466197120031. The reversal of 3466197119970 is 799117916643.

3466197119970 is a `hidden beast` number, since 3 + 4 + 6 + 619 + 7 + 1 + 1 + 9 + 9 + 7 + 0 = 666.

3466197119970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3466197119898 and 3466197119907.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 862450621 + ... + 862454639.

It is an arithmetic number, because the mean of its divisors is an integer number (26765149950).

Almost surely, 2^{3466197119970} is an apocalyptic number.

3466197119970 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 3466197119970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138908790400).

3466197119970 is an abundant number, since it is smaller than the sum of its proper divisors (6811620460830).

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

3466197119970 is a wasteful number, since it uses less digits than its factorization.

3466197119970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563 (or 4544 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 63.

The spelling of 3466197119970 in words is "three trillion, four hundred sixty-six billion, one hundred ninety-seven million, one hundred nineteen thousand, nine hundred seventy".