3590225737280 has 448 divisors, whose sum is σ = 10687103400960. Its totient is φ = 1118483251200.

The previous prime is 3590225737279. The next prime is 3590225737333. The reversal of 3590225737280 is 827375220953.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2086126820 + ... + 2086128540.

It is an arithmetic number, because the mean of its divisors is an integer number (23855141520).

Almost surely, 2^{3590225737280} 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 3590225737280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343551700480).

3590225737280 is an abundant number, since it is smaller than the sum of its proper divisors (7096877663680).

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

3590225737280 is a wasteful number, since it uses less digits than its factorization.

3590225737280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 53.

The spelling of 3590225737280 in words is "three trillion, five hundred ninety billion, two hundred twenty-five million, seven hundred thirty-seven thousand, two hundred eighty".