3446211132540 has 432 divisors, whose sum is σ = 11922692798016. Its totient is φ = 804467220480.

The previous prime is 3446211132479. The next prime is 3446211132569. The reversal of 3446211132540 is 452311126443.

3446211132540 is a `hidden beast` number, since 3 + 4 + 4 + 621 + 1 + 1 + 3 + 25 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3446211132495 and 3446211132504.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 78146377 + ... + 78190463.

Almost surely, 2^{3446211132540} is an apocalyptic number.

3446211132540 is a gapful number since it is divisible by the number (30) 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 3446211132540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5961346399008).

3446211132540 is an abundant number, since it is smaller than the sum of its proper divisors (8476481665476).

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

3446211132540 is a wasteful number, since it uses less digits than its factorization.

3446211132540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44258 (or 44242 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 3446211132540 its reverse (452311126443), we get a palindrome (3898522258983).

The spelling of 3446211132540 in words is "three trillion, four hundred forty-six billion, two hundred eleven million, one hundred thirty-two thousand, five hundred forty".