3254345390400 has 252 divisors, whose sum is σ = 11561450010912. Its totient is φ = 801069434880.

The previous prime is 3254345390371. The next prime is 3254345390423. The reversal of 3254345390400 is 40935434523.

3254345390400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1194684 + ... + 2817083.

Almost surely, 2^{3254345390400} is an apocalyptic number.

3254345390400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3254345390400 is an abundant number, since it is smaller than the sum of its proper divisors (8307104620512).

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

3254345390400 is a wasteful number, since it uses less digits than its factorization.

3254345390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4011818 (or 4011790 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 3254345390400 in words is "three trillion, two hundred fifty-four billion, three hundred forty-five million, three hundred ninety thousand, four hundred".