3254933414400 has 240 divisors, whose sum is σ = 10770495912000. Its totient is φ = 866527068160.

The previous prime is 3254933414389. The next prime is 3254933414401. The reversal of 3254933414400 is 44143394523.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (3254933414401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22930846 + ... + 23072354.

It is an arithmetic number, because the mean of its divisors is an integer number (44877066300).

Almost surely, 2^{3254933414400} is an apocalyptic number.

3254933414400 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 3254933414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385247956000).

3254933414400 is an abundant number, since it is smaller than the sum of its proper divisors (7515562497600).

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

3254933414400 is a wasteful number, since it uses less digits than its factorization.

3254933414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142139 (or 142118 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 3254933414400 in words is "three trillion, two hundred fifty-four billion, nine hundred thirty-three million, four hundred fourteen thousand, four hundred".