3507960960 has 480 divisors, whose sum is σ = 14583430620. Its totient is φ = 801239040.

The previous prime is 3507960947. The next prime is 3507960983. The reversal of 3507960960 is 690697053.

3507960960 is a `hidden beast` number, since 35 + 0 + 7 + 9 + 609 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3477225024 + 30735936 = 58968^2 + 5544^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2539470 + ... + 2540850.

Almost surely, 2^3507960960 is an apocalyptic number.

3507960960 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 3507960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7291715310).

3507960960 is an abundant number, since it is smaller than the sum of its proper divisors (11075469660).

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

3507960960 is a wasteful number, since it uses less digits than its factorization.

3507960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 3507960960 is about 59228.0420071439. The cubic root of 3507960960 is about 1519.4447648873. Note that the first 3 decimals are identical.

The spelling of 3507960960 in words is "three billion, five hundred seven million, nine hundred sixty thousand, nine hundred sixty".