3428571456 has 168 divisors, whose sum is σ = 10233599040. Its totient is φ = 1125591552.

The previous prime is 3428571427. The next prime is 3428571491. The reversal of 3428571456 is 6541758243.

3428571456 is a `hidden beast` number, since 3 + 4 + 28 + 571 + 4 + 56 = 666.

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, 20530285 + ... + 20530451.

It is an arithmetic number, because the mean of its divisors is an integer number (60914280).

Almost surely, 2^3428571456 is an apocalyptic number.

3428571456 is a gapful number since it is divisible by the number (36) 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 3428571456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5116799520).

3428571456 is an abundant number, since it is smaller than the sum of its proper divisors (6805027584).

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

3428571456 is a wasteful number, since it uses less digits than its factorization.

3428571456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 281 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 3428571456 is about 58554.0046111280. The cubic root of 3428571456 is about 1507.8948862794.

The spelling of 3428571456 in words is "three billion, four hundred twenty-eight million, five hundred seventy-one thousand, four hundred fifty-six".