3486822661440 has 168 divisors, whose sum is σ = 12514661572608. Its totient is φ = 889392430080.

The previous prime is 3486822661403. The next prime is 3486822661459. The reversal of 3486822661440 is 441662286843.

It is a happy number.

3486822661440 is a `hidden beast` number, since 3 + 48 + 6 + 82 + 26 + 61 + 440 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 26253376 + ... + 26385855.

Almost surely, 2^{3486822661440} is an apocalyptic number.

3486822661440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3486822661440 is an abundant number, since it is smaller than the sum of its proper divisors (9027838911168).

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

3486822661440 is a wasteful number, since it uses less digits than its factorization.

3486822661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52639277 (or 52639264 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 3486822661440 in words is "three trillion, four hundred eighty-six billion, eight hundred twenty-two million, six hundred sixty-one thousand, four hundred forty".