3254345440 has 144 divisors (see below), whose sum is σ = 8185538592. Its totient is φ = 1220330496.

The previous prime is 3254345407. The next prime is 3254345443. The reversal of 3254345440 is 445434523.

It is a junction number, because it is equal to n+sod(n) for n = 3254345396 and 3254345405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3254345443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16519422 + ... + 16519618.

It is an arithmetic number, because the mean of its divisors is an integer number (56844018).

Almost surely, 2^3254345440 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 3254345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092769296).

3254345440 is an abundant number, since it is smaller than the sum of its proper divisors (4931193152).

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

3254345440 is a wasteful number, since it uses less digits than its factorization.

3254345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

The square root of 3254345440 is about 57046.8705539576. The cubic root of 3254345440 is about 1481.9079119319.

Adding to 3254345440 its reverse (445434523), we get a palindrome (3699779963).

The spelling of 3254345440 in words is "three billion, two hundred fifty-four million, three hundred forty-five thousand, four hundred forty".