3506480840 has 16 divisors (see below), whose sum is σ = 7889581980. Its totient is φ = 1402592320.

The previous prime is 3506480821. The next prime is 3506480849. The reversal of 3506480840 is 480846053.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3478876324 + 27604516 = 58982^2 + 5254^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3506480794 and 3506480803.

It is not an unprimeable number, because it can be changed into a prime (3506480849) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 43830971 + ... + 43831050.

Almost surely, 2^3506480840 is an apocalyptic number.

It is an amenable number.

3506480840 is an abundant number, since it is smaller than the sum of its proper divisors (4383101140).

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

3506480840 is a wasteful number, since it uses less digits than its factorization.

3506480840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87662032 (or 87662028 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 3506480840 is about 59215.5455940414. The cubic root of 3506480840 is about 1519.2310341771.

The spelling of 3506480840 in words is "three billion, five hundred six million, four hundred eighty thousand, eight hundred forty".