3520661760 has 1008 divisors, whose sum is σ = 16085462400. Its totient is φ = 731566080.

The previous prime is 3520661719. The next prime is 3520661789. The reversal of 3520661760 is 671660253.

3520661760 is a `hidden beast` number, since 3 + 520 + 6 + 61 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 320060155 + ... + 320060165.

It is an arithmetic number, because the mean of its divisors is an integer number (15957800).

Almost surely, 2^3520661760 is an apocalyptic number.

3520661760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3520661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8042731200).

3520661760 is an abundant number, since it is smaller than the sum of its proper divisors (12564800640).

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

3520661760 is an frugal number, since it uses more digits than its factorization.

3520661760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3520661760 is about 59335.1646159341. The cubic root of 3520661760 is about 1521.2763056730.

The spelling of 3520661760 in words is "three billion, five hundred twenty million, six hundred sixty-one thousand, seven hundred sixty".