3441019018356 has 288 divisors, whose sum is σ = 9630869248000. Its totient is φ = 1071138152448.

The previous prime is 3441019018303. The next prime is 3441019018363. The reversal of 3441019018356 is 6538109101443.

3441019018356 is a `hidden beast` number, since 3 + 4 + 410 + 1 + 9 + 0 + 183 + 56 = 666.

3441019018356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3441019018356² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1121947935 + ... + 1121951001.

Almost surely, 2^{3441019018356} is an apocalyptic number.

3441019018356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3441019018356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815434624000).

3441019018356 is an abundant number, since it is smaller than the sum of its proper divisors (6189850229644).

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

3441019018356 is a wasteful number, since it uses less digits than its factorization.

3441019018356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3953 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 3441019018356 in words is "three trillion, four hundred forty-one billion, nineteen million, eighteen thousand, three hundred fifty-six".