3428312448 has 64 divisors (see below), whose sum is σ = 9934326720. Its totient is φ = 1038881280.

The previous prime is 3428312417. The next prime is 3428312467. The reversal of 3428312448 is 8442138243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3428312448² = 23506652482223505408, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401590 + ... + 410037.

It is an arithmetic number, because the mean of its divisors is an integer number (155223855).

Almost surely, 2^3428312448 is an apocalyptic number.

It is an amenable number.

3428312448 is an abundant number, since it is smaller than the sum of its proper divisors (6506014272).

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

3428312448 is a wasteful number, since it uses less digits than its factorization.

3428312448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811655 (or 811643 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 3428312448 is about 58551.7928675118. The cubic root of 3428312448 is about 1507.8569145197.

The spelling of 3428312448 in words is "three billion, four hundred twenty-eight million, three hundred twelve thousand, four hundred forty-eight".