3445558490976 has 768 divisors, whose sum is σ = 11628881510400. Its totient is φ = 889814661120.

The previous prime is 3445558490923. The next prime is 3445558490977. The reversal of 3445558490976 is 6790948555443.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a self number, because there is not a number n which added to its sum of digits gives 3445558490976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3445558490977) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1009537846 + ... + 1009541258.

It is an arithmetic number, because the mean of its divisors is an integer number (15141772800).

Almost surely, 2^{3445558490976} 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 3445558490976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5814440755200).

3445558490976 is an abundant number, since it is smaller than the sum of its proper divisors (8183323019424).

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

3445558490976 is a wasteful number, since it uses less digits than its factorization.

3445558490976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3544 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 69.

The spelling of 3445558490976 in words is "three trillion, four hundred forty-five billion, five hundred fifty-eight million, four hundred ninety thousand, nine hundred seventy-six".