3444405572400 has 480 divisors, whose sum is σ = 12068002931712. Its totient is φ = 834701414400.

The previous prime is 3444405572393. The next prime is 3444405572473. The reversal of 3444405572400 is 42755044443.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277970205 + ... + 277982595.

Almost surely, 2^{3444405572400} is an apocalyptic number.

3444405572400 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 3444405572400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6034001465856).

3444405572400 is an abundant number, since it is smaller than the sum of its proper divisors (8623597359312).

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

3444405572400 is a wasteful number, since it uses less digits than its factorization.

3444405572400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12701 (or 12690 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 42.

The spelling of 3444405572400 in words is "three trillion, four hundred forty-four billion, four hundred five million, five hundred seventy-two thousand, four hundred".