3446689680 has 240 divisors, whose sum is σ = 13925358720. Its totient is φ = 746330112.

The previous prime is 3446689663. The next prime is 3446689711. The reversal of 3446689680 is 869866443.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77764 + ... + 113756.

It is an arithmetic number, because the mean of its divisors is an integer number (58022328).

Almost surely, 2^3446689680 is an apocalyptic number.

3446689680 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 3446689680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6962679360).

3446689680 is an abundant number, since it is smaller than the sum of its proper divisors (10478669040).

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

3446689680 is a wasteful number, since it uses less digits than its factorization.

3446689680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36038 (or 36029 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The square root of 3446689680 is about 58708.5145443146. The cubic root of 3446689680 is about 1510.5463689525.

The spelling of 3446689680 in words is "three billion, four hundred forty-six million, six hundred eighty-nine thousand, six hundred eighty".