3542444334401 has 32 divisors (see below), whose sum is σ = 4316034375168. Its totient is φ = 2841948426240.

The previous prime is 3542444334367. The next prime is 3542444334439. The reversal of 3542444334401 is 1044334442453.

It is not a de Polignac number, because 3542444334401 - 2¹⁰ = 3542444333377 is a prime.

It is a super-3 number, since 3×3542444334401³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3542440334401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 960995 + ... + 2829911.

It is an arithmetic number, because the mean of its divisors is an integer number (134876074224).

Almost surely, 2^{3542444334401} is an apocalyptic number.

It is an amenable number.

3542444334401 is a deficient number, since it is larger than the sum of its proper divisors (773590040767).

3542444334401 is a wasteful number, since it uses less digits than its factorization.

3542444334401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869201.

The product of its (nonzero) digits is 1105920, while the sum is 41.

Adding to 3542444334401 its reverse (1044334442453), we get a palindrome (4586778776854).

The spelling of 3542444334401 in words is "three trillion, five hundred forty-two billion, four hundred forty-four million, three hundred thirty-four thousand, four hundred one".