3497946889920 has 448 divisors, whose sum is σ = 13519718553600. Its totient is φ = 747989434368.

The previous prime is 3497946889909. The next prime is 3497946889949. The reversal of 3497946889920 is 299886497943.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 18986406 + ... + 19169754.

It is an arithmetic number, because the mean of its divisors is an integer number (30177943200).

Almost surely, 2^{3497946889920} is an apocalyptic number.

3497946889920 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 3497946889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6759859276800).

3497946889920 is an abundant number, since it is smaller than the sum of its proper divisors (10021771663680).

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

3497946889920 is a wasteful number, since it uses less digits than its factorization.

3497946889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183560 (or 183550 counting only the distinct ones).

The product of its (nonzero) digits is 1693052928, while the sum is 78.

The spelling of 3497946889920 in words is "three trillion, four hundred ninety-seven billion, nine hundred forty-six million, eight hundred eighty-nine thousand, nine hundred twenty".