3573880128 has 336 divisors, whose sum is σ = 12923129856. Its totient is φ = 919019520.

The previous prime is 3573880091. The next prime is 3573880129. The reversal of 3573880128 is 8210883753.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3573880129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2148225 + ... + 2149887.

It is an arithmetic number, because the mean of its divisors is an integer number (38461696).

Almost surely, 2^3573880128 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 3573880128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6461564928).

3573880128 is an abundant number, since it is smaller than the sum of its proper divisors (9349249728).

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

3573880128 is a wasteful number, since it uses less digits than its factorization.

3573880128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 3573880128 is about 59781.9381418836. The cubic root of 3573880128 is about 1528.9032149795.

The spelling of 3573880128 in words is "three billion, five hundred seventy-three million, eight hundred eighty thousand, one hundred twenty-eight".