3532445070400 has 189 divisors, whose sum is σ = 9177286145391. Its totient is φ = 1338069473280.

The previous prime is 3532445070373. The next prime is 3532445070403. The reversal of 3532445070400 is 40705442353.

The square root of 3532445070400 is 1879480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 46128730176 + 3486316340224 = 214776^2 + 1867168^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3532445070400.

It is not an unprimeable number, because it can be changed into a prime (3532445070403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1428403564 + ... + 1428406036.

Almost surely, 2^{3532445070400} is an apocalyptic number.

3532445070400 is the 1879480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3532445070400

3532445070400 is an abundant number, since it is smaller than the sum of its proper divisors (5644841074991).

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

3532445070400 is an frugal number, since it uses more digits than its factorization.

3532445070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 37.

The spelling of 3532445070400 in words is "three trillion, five hundred thirty-two billion, four hundred forty-five million, seventy thousand, four hundred".