3445441256400 has 480 divisors, whose sum is σ = 12974594156160. Its totient is φ = 770522112000.

The previous prime is 3445441256371. The next prime is 3445441256431. The reversal of 3445441256400 is 46521445443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 319342206 + ... + 319352994.

It is an arithmetic number, because the mean of its divisors is an integer number (27030404492).

Almost surely, 2^{3445441256400} is an apocalyptic number.

3445441256400 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 3445441256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6487297078080).

3445441256400 is an abundant number, since it is smaller than the sum of its proper divisors (9529152899760).

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

3445441256400 is a wasteful number, since it uses less digits than its factorization.

3445441256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12695 (or 12684 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 3445441256400 in words is "three trillion, four hundred forty-five billion, four hundred forty-one million, two hundred fifty-six thousand, four hundred".