3542136105341 has 16 divisors (see below), whose sum is σ = 3901034193408. Its totient is φ = 3201606220800.

The previous prime is 3542136105271. The next prime is 3542136105373. The reversal of 3542136105341 is 1435016312453.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3542136105341 is a prime.

It is a super-3 number, since 3×3542136105341³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3542136105295 and 3542136105304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3542136105041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25584860 + ... + 25722933.

It is an arithmetic number, because the mean of its divisors is an integer number (243814637088).

Almost surely, 2^{3542136105341} is an apocalyptic number.

3542136105341 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3542136105341 is a deficient number, since it is larger than the sum of its proper divisors (358898088067).

3542136105341 is a wasteful number, since it uses less digits than its factorization.

3542136105341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51307972.

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 3542136105341 in words is "three trillion, five hundred forty-two billion, one hundred thirty-six million, one hundred five thousand, three hundred forty-one".