3542105040003 has 24 divisors (see below), whose sum is σ = 5154667533600. Its totient is φ = 2343753740160.

The previous prime is 3542105039953. The next prime is 3542105040029. The reversal of 3542105040003 is 3000405012453.

3542105040003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3542105040003 - 2²⁰ = 3542103991427 is a prime.

It is a super-3 number, since 3×3542105040003³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3542105040503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 733743 + ... + 2760903.

It is an arithmetic number, because the mean of its divisors is an integer number (214777813900).

Almost surely, 2^{3542105040003} is an apocalyptic number.

3542105040003 is a deficient number, since it is larger than the sum of its proper divisors (1612562493597).

3542105040003 is a wasteful number, since it uses less digits than its factorization.

3542105040003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028619 (or 2028616 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 3542105040003 in words is "three trillion, five hundred forty-two billion, one hundred five million, forty thousand, three".