3506880083 has 24 divisors (see below), whose sum is σ = 4096764000. Its totient is φ = 2940271488.

The previous prime is 3506880077. The next prime is 3506880089. The reversal of 3506880083 is 3800886053.

3506880083 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3506880077) and next prime (3506880089).

It is not a de Polignac number, because 3506880083 - 2¹⁴ = 3506863699 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3506880083.

It is not an unprimeable number, because it can be changed into a prime (3506880089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10048193 + ... + 10048541.

It is an arithmetic number, because the mean of its divisors is an integer number (170698500).

Almost surely, 2^3506880083 is an apocalyptic number.

3506880083 is a deficient number, since it is larger than the sum of its proper divisors (589883917).

3506880083 is an equidigital number, since it uses as much as digits as its factorization.

3506880083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 3506880083 is about 59218.9165976548. The cubic root of 3506880083 is about 1519.2886911619.

The spelling of 3506880083 in words is "three billion, five hundred six million, eight hundred eighty thousand, eighty-three".