3525816320 has 416 divisors, whose sum is σ = 10403225280. Its totient is φ = 1132462080.

The previous prime is 3525816313. The next prime is 3525816323. The reversal of 3525816320 is 236185253.

It is a tau number, because it is divible by the number of its divisors (416).

It is not an unprimeable number, because it can be changed into a prime (3525816323) 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 31 ways as a sum of consecutive naturals, for example, 85995500 + ... + 85995540.

Almost surely, 2^3525816320 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 3525816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5201612640).

3525816320 is an abundant number, since it is smaller than the sum of its proper divisors (6877408960).

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

3525816320 is a wasteful number, since it uses less digits than its factorization.

3525816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 3525816320 is about 59378.5846917893. The cubic root of 3525816320 is about 1522.0183712988.

The spelling of 3525816320 in words is "three billion, five hundred twenty-five million, eight hundred sixteen thousand, three hundred twenty".