3545588480 has 288 divisors, whose sum is σ = 10419494400. Its totient is φ = 1128923136.

The previous prime is 3545588479. The next prime is 3545588531. The reversal of 3545588480 is 848855453.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10043984 + ... + 10044336.

It is an arithmetic number, because the mean of its divisors is an integer number (36178800).

Almost surely, 2^3545588480 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 3545588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209747200).

3545588480 is an abundant number, since it is smaller than the sum of its proper divisors (6873905920).

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

3545588480 is a wasteful number, since it uses less digits than its factorization.

3545588480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 50.

The square root of 3545588480 is about 59544.8442772336. The cubic root of 3545588480 is about 1524.8581403472.

The spelling of 3545588480 in words is "three billion, five hundred forty-five million, five hundred eighty-eight thousand, four hundred eighty".