3253894348800 has 768 divisors, whose sum is σ = 11293142192640. Its totient is φ = 825753600000.

The previous prime is 3253894348777. The next prime is 3253894348811. The reversal of 3253894348800 is 88434983523.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×3253894348800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4332748425 + ... + 4332749175.

It is an arithmetic number, because the mean of its divisors is an integer number (14704612230).

Almost surely, 2^{3253894348800} is an apocalyptic number.

3253894348800 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 3253894348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646571096320).

3253894348800 is an abundant number, since it is smaller than the sum of its proper divisors (8039247843840).

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

3253894348800 is an equidigital number, since it uses as much as digits as its factorization.

3253894348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 3253894348800 in words is "three trillion, two hundred fifty-three billion, eight hundred ninety-four million, three hundred forty-eight thousand, eight hundred".