3466933656560 has 80 divisors (see below), whose sum is σ = 8794036654560. Its totient is φ = 1260612510720.

The previous prime is 3466933656539. The next prime is 3466933656611. The reversal of 3466933656560 is 656563396643.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3466933656493 and 3466933656502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12774434 + ... + 13043006.

It is an arithmetic number, because the mean of its divisors is an integer number (109925458182).

Almost surely, 2^{3466933656560} is an apocalyptic number.

It is an amenable number.

3466933656560 is an abundant number, since it is smaller than the sum of its proper divisors (5327102998000).

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

3466933656560 is a wasteful number, since it uses less digits than its factorization.

3466933656560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283266 (or 283260 counting only the distinct ones).

The product of its (nonzero) digits is 188956800, while the sum is 62.

The spelling of 3466933656560 in words is "three trillion, four hundred sixty-six billion, nine hundred thirty-three million, six hundred fifty-six thousand, five hundred sixty".