3442201504014 has 256 divisors, whose sum is σ = 8941647052800. Its totient is φ = 876903874560.

The previous prime is 3442201503901. The next prime is 3442201504037. The reversal of 3442201504014 is 4104051022443.

It is a super-2 number, since 2×3442201504014² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 478545202 + ... + 478552394.

It is an arithmetic number, because the mean of its divisors is an integer number (34928308800).

Almost surely, 2^{3442201504014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3442201504014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470823526400).

3442201504014 is an abundant number, since it is smaller than the sum of its proper divisors (5499445548786).

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

3442201504014 is a wasteful number, since it uses less digits than its factorization.

3442201504014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7840 (or 7826 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 3442201504014 its reverse (4104051022443), we get a palindrome (7546252526457).

The spelling of 3442201504014 in words is "three trillion, four hundred forty-two billion, two hundred one million, five hundred four thousand, fourteen".