3254580000 has 900 divisors, whose sum is σ = 14252829822. Its totient is φ = 725760000.

The previous prime is 3254579963. The next prime is 3254580023. The reversal of 3254580000 is 854523.

3254580000 is a `hidden beast` number, since 32 + 54 + 580 + 0 + 0 + 0 = 666.

3254580000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 96589584 + 3157990416 = 9828^2 + 56196^2 .

It is a tau number, because it is divible by the number of its divisors (900).

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

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 79379980 + ... + 79380020.

Almost surely, 2^3254580000 is an apocalyptic number.

3254580000 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 3254580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7126414911).

3254580000 is an abundant number, since it is smaller than the sum of its proper divisors (10998249822).

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

3254580000 is an equidigital number, since it uses as much as digits as its factorization.

3254580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3254580000 is about 57048.9263702657. The cubic root of 3254580000 is about 1481.9435143775.

The spelling of 3254580000 in words is "three billion, two hundred fifty-four million, five hundred eighty thousand".