3443133135060 has 144 divisors (see below), whose sum is σ = 10458691261200. Its totient is φ = 916893315072.

The previous prime is 3443133135031. The next prime is 3443133135077. The reversal of 3443133135060 is 605313313443.

3443133135060 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 133 + 13 + 506 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 54455956164 + 3388677178896 = 233358^2 + 1840836^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458042422 + ... + 458049938.

It is an arithmetic number, because the mean of its divisors is an integer number (72629800425).

Almost surely, 2^{3443133135060} is an apocalyptic number.

3443133135060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3443133135060 is an abundant number, since it is smaller than the sum of its proper divisors (7015558126140).

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

3443133135060 is a wasteful number, since it uses less digits than its factorization.

3443133135060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10730 (or 10725 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 3443133135060 in words is "three trillion, four hundred forty-three billion, one hundred thirty-three million, one hundred thirty-five thousand, sixty".