3506666146000 has 320 divisors, whose sum is σ = 8758189440000. Its totient is φ = 1357273497600.

The previous prime is 3506666145943. The next prime is 3506666146001. The reversal of 3506666146000 is 6416666053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3506666146001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4560033616 + ... + 4560034384.

It is an arithmetic number, because the mean of its divisors is an integer number (27369342000).

Almost surely, 2^{3506666146000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3506666146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379094720000).

3506666146000 is an abundant number, since it is smaller than the sum of its proper divisors (5251523294000).

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

3506666146000 is a wasteful number, since it uses less digits than its factorization.

3506666146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 43.

The spelling of 3506666146000 in words is "three trillion, five hundred six billion, six hundred sixty-six million, one hundred forty-six thousand".