3459448000 has 112 divisors (see below), whose sum is σ = 8635337568. Its totient is φ = 1372800000.

The previous prime is 3459447991. The next prime is 3459448033. The reversal of 3459448000 is 8449543.

3459448000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1046350 + ... + 1049650.

Almost surely, 2^3459448000 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 3459448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317668784).

3459448000 is an abundant number, since it is smaller than the sum of its proper divisors (5175889568).

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

3459448000 is a wasteful number, since it uses less digits than its factorization.

3459448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 3459448000 is about 58817.0723514865. The cubic root of 3459448000 is about 1512.4078945802.

The spelling of 3459448000 in words is "three billion, four hundred fifty-nine million, four hundred forty-eight thousand".