3541022239968 has 144 divisors (see below), whose sum is σ = 10146807740160. Its totient is φ = 1171318099968.

The previous prime is 3541022239967. The next prime is 3541022239969. The reversal of 3541022239968 is 8699322201453.

3541022239968 is a `hidden beast` number, since 3 + 541 + 0 + 2 + 2 + 2 + 3 + 9 + 96 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3541022239967) and next prime (3541022239969).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3541022239967) 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 23 ways as a sum of consecutive naturals, for example, 126600321 + ... + 126628287.

It is an arithmetic number, because the mean of its divisors is an integer number (70463942640).

Almost surely, 2^{3541022239968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3541022239968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5073403870080).

3541022239968 is an abundant number, since it is smaller than the sum of its proper divisors (6605785500192).

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

3541022239968 is a wasteful number, since it uses less digits than its factorization.

3541022239968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31329 (or 31318 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 3541022239968 in words is "three trillion, five hundred forty-one billion, twenty-two million, two hundred thirty-nine thousand, nine hundred sixty-eight".