3520126720 has 288 divisors, whose sum is σ = 9814633920. Its totient is φ = 1197342720.

The previous prime is 3520126717. The next prime is 3520126733. The reversal of 3520126720 is 276210253.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15107724 + ... + 15107956.

It is an arithmetic number, because the mean of its divisors is an integer number (34078590).

Almost surely, 2^3520126720 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 3520126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907316960).

3520126720 is an abundant number, since it is smaller than the sum of its proper divisors (6294507200).

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

3520126720 is a wasteful number, since it uses less digits than its factorization.

3520126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 3520126720 is about 59330.6558197362. The cubic root of 3520126720 is about 1521.1992382573.

Adding to 3520126720 its reverse (276210253), we get a palindrome (3796336973).

It can be divided in two parts, 3520 and 126720, that multiplied together give a square (446054400 = 21120²).

The spelling of 3520126720 in words is "three billion, five hundred twenty million, one hundred twenty-six thousand, seven hundred twenty".