3428569248 has 288 divisors, whose sum is σ = 10678252032. Its totient is φ = 958464000.

The previous prime is 3428569219. The next prime is 3428569253. The reversal of 3428569248 is 8429658243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 3428569248.

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, 8549848 + ... + 8550248.

It is an arithmetic number, because the mean of its divisors is an integer number (37077264).

Almost surely, 2^3428569248 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 3428569248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5339126016).

3428569248 is an abundant number, since it is smaller than the sum of its proper divisors (7249682784).

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

3428569248 is a wasteful number, since it uses less digits than its factorization.

3428569248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 467 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The square root of 3428569248 is about 58553.9857567356. The cubic root of 3428569248 is about 1507.8945625845.

The spelling of 3428569248 in words is "three billion, four hundred twenty-eight million, five hundred sixty-nine thousand, two hundred forty-eight".