3445994428800 has 2304 divisors, whose sum is σ = 14882887434240. Its totient is φ = 685504512000.

The previous prime is 3445994428781. The next prime is 3445994428843. The reversal of 3445994428800 is 88244995443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27133814337 + ... + 27133814463.

It is an arithmetic number, because the mean of its divisors is an integer number (6459586560).

Almost surely, 2^{3445994428800} is an apocalyptic number.

3445994428800 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 3445994428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7441443717120).

3445994428800 is an abundant number, since it is smaller than the sum of its proper divisors (11436893005440).

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

3445994428800 is a wasteful number, since it uses less digits than its factorization.

3445994428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 3445994428800 in words is "three trillion, four hundred forty-five billion, nine hundred ninety-four million, four hundred twenty-eight thousand, eight hundred".