3254506128 has 100 divisors (see below), whose sum is σ = 9597413628. Its totient is φ = 1064344320.

The previous prime is 3254506097. The next prime is 3254506147. The reversal of 3254506128 is 8216054523.

3254506128 is a `hidden beast` number, since 3 + 25 + 4 + 506 + 128 = 666.

3254506128 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 2 ways, for example, as 2676199824 + 578306304 = 51732^2 + 24048^2 .

It is a super-3 number, since 3×3254506128³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3254506092 and 3254506101.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44998 + ... + 92378.

Almost surely, 2^3254506128 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 3254506128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798706814).

3254506128 is an abundant number, since it is smaller than the sum of its proper divisors (6342907500).

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

3254506128 is a wasteful number, since it uses less digits than its factorization.

3254506128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47454 (or 47439 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3254506128 is about 57048.2789223303. The cubic root of 3254506128 is about 1481.9323019773.

The spelling of 3254506128 in words is "three billion, two hundred fifty-four million, five hundred six thousand, one hundred twenty-eight".