3252852326400 has 384 divisors, whose sum is σ = 11127072308400. Its totient is φ = 837497651200.

The previous prime is 3252852326387. The next prime is 3252852326401. The reversal of 3252852326400 is 46232582523.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3252852326401) 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, 71247580 + ... + 71293220.

Almost surely, 2^{3252852326400} is an apocalyptic number.

3252852326400 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 3252852326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5563536154200).

3252852326400 is an abundant number, since it is smaller than the sum of its proper divisors (7874219982000).

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

3252852326400 is an equidigital number, since it uses as much as digits as its factorization.

3252852326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45713 (or 45680 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 3252852326400 in words is "three trillion, two hundred fifty-two billion, eight hundred fifty-two million, three hundred twenty-six thousand, four hundred".