3531251120 has 80 divisors (see below), whose sum is σ = 8511017760. Its totient is φ = 1360945152.

The previous prime is 3531251093. The next prime is 3531251197. The reversal of 3531251120 is 211521353.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 1360544 + ... + 1363136.

It is an arithmetic number, because the mean of its divisors is an integer number (106387722).

Almost surely, 2^3531251120 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 3531251120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255508880).

3531251120 is an abundant number, since it is smaller than the sum of its proper divisors (4979766640).

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

3531251120 is a wasteful number, since it uses less digits than its factorization.

3531251120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 3531251120 is about 59424.3310437736. The cubic root of 3531251120 is about 1522.7999982245.

Adding to 3531251120 its reverse (211521353), we get a palindrome (3742772473).

The spelling of 3531251120 in words is "three billion, five hundred thirty-one million, two hundred fifty-one thousand, one hundred twenty".