3353504034144 has 96 divisors (see below), whose sum is σ = 9604626554880. Its totient is φ = 1016064089600.

The previous prime is 3353504034143. The next prime is 3353504034149. The reversal of 3353504034144 is 4414304053533.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3353504034144² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3353504034143) 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 15 ways as a sum of consecutive naturals, for example, 7068262 + ... + 7527770.

It is an arithmetic number, because the mean of its divisors is an integer number (100048193280).

Almost surely, 2^{3353504034144} is an apocalyptic number.

It is an amenable number.

3353504034144 is an abundant number, since it is smaller than the sum of its proper divisors (6251122520736).

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

3353504034144 is a wasteful number, since it uses less digits than its factorization.

3353504034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466444 (or 466436 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 39.

Adding to 3353504034144 its reverse (4414304053533), we get a palindrome (7767808087677).

The spelling of 3353504034144 in words is "three trillion, three hundred fifty-three billion, five hundred four million, thirty-four thousand, one hundred forty-four".