3486441852432 has 320 divisors, whose sum is σ = 12712149227520. Its totient is φ = 888482649600.

The previous prime is 3486441852403. The next prime is 3486441852581. The reversal of 3486441852432 is 2342581446843.

It is a happy number.

3486441852432 is a `hidden beast` number, since 3 + 4 + 86 + 4 + 4 + 1 + 8 + 524 + 32 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 774207 + ... + 2751777.

It is an arithmetic number, because the mean of its divisors is an integer number (39725466336).

Almost surely, 2^{3486441852432} 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 3486441852432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6356074613760).

3486441852432 is an abundant number, since it is smaller than the sum of its proper divisors (9225707375088).

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

3486441852432 is a wasteful number, since it uses less digits than its factorization.

3486441852432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977659 (or 1977647 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 54.

The spelling of 3486441852432 in words is "three trillion, four hundred eighty-six billion, four hundred forty-one million, eight hundred fifty-two thousand, four hundred thirty-two".