3442638080 has 216 divisors, whose sum is σ = 9688805280. Its totient is φ = 1168527360.

The previous prime is 3442638041. The next prime is 3442638109. The reversal of 3442638080 is 808362443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8216111 + ... + 8216529.

It is an arithmetic number, because the mean of its divisors is an integer number (44855580).

Almost surely, 2^3442638080 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 3442638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4844402640).

3442638080 is an abundant number, since it is smaller than the sum of its proper divisors (6246167200).

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

3442638080 is a wasteful number, since it uses less digits than its factorization.

3442638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 3442638080 is about 58673.9983297542. The cubic root of 3442638080 is about 1509.9542520824.

The spelling of 3442638080 in words is "three billion, four hundred forty-two million, six hundred thirty-eight thousand, eighty".