3445205150300 has 144 divisors (see below), whose sum is σ = 7688416243200. Its totient is φ = 1339624396800.

The previous prime is 3445205150297. The next prime is 3445205150353. The reversal of 3445205150300 is 30515025443.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 151967366 + ... + 151990034.

Almost surely, 2^{3445205150300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3445205150300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844208121600).

3445205150300 is an abundant number, since it is smaller than the sum of its proper divisors (4243211092900).

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

3445205150300 is a wasteful number, since it uses less digits than its factorization.

3445205150300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23056 (or 23049 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 3445205150300 in words is "three trillion, four hundred forty-five billion, two hundred five million, one hundred fifty thousand, three hundred".