3483132841188 has 576 divisors, whose sum is σ = 12313238568960. Its totient is φ = 828505117440.

The previous prime is 3483132841171. The next prime is 3483132841207. The reversal of 3483132841188 is 8811482313843.

3483132841188 is a `hidden beast` number, since 3 + 48 + 313 + 284 + 1 + 1 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 151015345 + ... + 151038407.

Almost surely, 2^{3483132841188} 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 3483132841188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6156619284480).

3483132841188 is an abundant number, since it is smaller than the sum of its proper divisors (8830105727772).

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

3483132841188 is a wasteful number, since it uses less digits than its factorization.

3483132841188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23245 (or 23226 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 3483132841188 in words is "three trillion, four hundred eighty-three billion, one hundred thirty-two million, eight hundred forty-one thousand, one hundred eighty-eight".