3254256000 has 576 divisors, whose sum is σ = 12527199360. Its totient is φ = 839808000.

The previous prime is 3254255981. The next prime is 3254256013. The reversal of 3254256000 is 6524523.

3254256000 is a `hidden beast` number, since 3 + 2 + 54 + 2 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3254256000² = 21180364227072000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104975985 + ... + 104976015.

It is an arithmetic number, because the mean of its divisors is an integer number (21748610).

Almost surely, 2^3254256000 is an apocalyptic number.

3254256000 is a gapful number since it is divisible by the number (30) 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 3254256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6263599680).

3254256000 is an abundant number, since it is smaller than the sum of its proper divisors (9272943360).

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

3254256000 is an frugal number, since it uses more digits than its factorization.

3254256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3254256000 is about 57046.0866317752. The cubic root of 3254256000 is about 1481.8943359240.

The spelling of 3254256000 in words is "three billion, two hundred fifty-four million, two hundred fifty-six thousand".