3420166605540 has 96 divisors (see below), whose sum is σ = 9628300738560. Its totient is φ = 907115400576.

The previous prime is 3420166605437. The next prime is 3420166605607. The reversal of 3420166605540 is 455066610243.

It is a super-3 number, since 3×3420166605540³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3420166605492 and 3420166605501.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14426481 + ... + 14661639.

It is an arithmetic number, because the mean of its divisors is an integer number (100294799360).

Almost surely, 2^{3420166605540} is an apocalyptic number.

3420166605540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3420166605540 is an abundant number, since it is smaller than the sum of its proper divisors (6208134133020).

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

3420166605540 is a wasteful number, since it uses less digits than its factorization.

3420166605540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236481 (or 236479 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 3420166605540 in words is "three trillion, four hundred twenty billion, one hundred sixty-six million, six hundred five thousand, five hundred forty".