3441832972542 has 96 divisors (see below), whose sum is σ = 8147786250240. Its totient is φ = 1046021688000.

The previous prime is 3441832972541. The next prime is 3441832972559. The reversal of 3441832972542 is 2452792381443.

3441832972542 is a `hidden beast` number, since 3 + 4 + 4 + 1 + 8 + 3 + 2 + 97 + 2 + 542 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441832972541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1022167 + ... + 2815757.

It is an arithmetic number, because the mean of its divisors is an integer number (84872773440).

Almost surely, 2^{3441832972542} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3441832972542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073893125120).

3441832972542 is an abundant number, since it is smaller than the sum of its proper divisors (4705953277698).

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

3441832972542 is a wasteful number, since it uses less digits than its factorization.

3441832972542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793830 (or 1793827 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 3441832972542 in words is "three trillion, four hundred forty-one billion, eight hundred thirty-two million, nine hundred seventy-two thousand, five hundred forty-two".