3545307004512 has 384 divisors, whose sum is σ = 11674168934400. Its totient is φ = 917192263680.

The previous prime is 3545307004487. The next prime is 3545307004531. The reversal of 3545307004512 is 2154007035453.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 123416583 + ... + 123445305.

It is an arithmetic number, because the mean of its divisors is an integer number (30401481600).

Almost surely, 2^{3545307004512} is an apocalyptic number.

3545307004512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3545307004512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837084467200).

3545307004512 is an abundant number, since it is smaller than the sum of its proper divisors (8128861929888).

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

3545307004512 is a wasteful number, since it uses less digits than its factorization.

3545307004512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29026 (or 29018 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 39.

The spelling of 3545307004512 in words is "three trillion, five hundred forty-five billion, three hundred seven million, four thousand, five hundred twelve".