3201545088 has 320 divisors, whose sum is σ = 11248005120. Its totient is φ = 884597760.

The previous prime is 3201545071. The next prime is 3201545089. The reversal of 3201545088 is 8805451023.

It is a happy number.

3201545088 is a `hidden beast` number, since 32 + 0 + 1 + 545 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201545089) 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 39 ways as a sum of consecutive naturals, for example, 2249145 + ... + 2250567.

It is an arithmetic number, because the mean of its divisors is an integer number (35150016).

Almost surely, 2^3201545088 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 3201545088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624002560).

3201545088 is an abundant number, since it is smaller than the sum of its proper divisors (8046460032).

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

3201545088 is a wasteful number, since it uses less digits than its factorization.

3201545088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 3201545088 is about 56582.1976243412. The cubic root of 3201545088 is about 1473.8497343300.

The spelling of 3201545088 in words is "three billion, two hundred one million, five hundred forty-five thousand, eighty-eight".