3545001346712 has 256 divisors, whose sum is σ = 8459191910400. Its totient is φ = 1358400637440.

The previous prime is 3545001346673. The next prime is 3545001346727. The reversal of 3545001346712 is 2176431005453.

It is a self number, because there is not a number n which added to its sum of digits gives 3545001346712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1167269258 + ... + 1167272294.

It is an arithmetic number, because the mean of its divisors is an integer number (33043718400).

Almost surely, 2^{3545001346712} 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 3545001346712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229595955200).

3545001346712 is an abundant number, since it is smaller than the sum of its proper divisors (4914190563688).

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

3545001346712 is a wasteful number, since it uses less digits than its factorization.

3545001346712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 3545001346712 in words is "three trillion, five hundred forty-five billion, one million, three hundred forty-six thousand, seven hundred twelve".