3254251242400 has 36 divisors (see below), whose sum is σ = 7944440847462. Its totient is φ = 1301700496640.

The previous prime is 3254251242353. The next prime is 3254251242433. The reversal of 3254251242400 is 42421524523.

3254251242400 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 3 ways, for example, as 2361914069904 + 892337172496 = 1536852^2 + 944636^2 .

It is a super-2 number, since 2×3254251242400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2033906227 + ... + 2033907826.

Almost surely, 2^{3254251242400} is an apocalyptic number.

It is an amenable number.

3254251242400 is an abundant number, since it is smaller than the sum of its proper divisors (4690189605062).

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

3254251242400 is a wasteful number, since it uses less digits than its factorization.

3254251242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067814073 (or 4067814060 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 3254251242400 its reverse (42421524523), we get a palindrome (3296672766923).

The spelling of 3254251242400 in words is "three trillion, two hundred fifty-four billion, two hundred fifty-one million, two hundred forty-two thousand, four hundred".