3506880006 has 48 divisors (see below), whose sum is σ = 8689203744. Its totient is φ = 1001331072.

The previous prime is 3506880001. The next prime is 3506880011. The reversal of 3506880006 is 6000886053.

It is an interprime number because it is at equal distance from previous prime (3506880001) and next prime (3506880011).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3506880001) 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, 212940 + ... + 228816.

It is an arithmetic number, because the mean of its divisors is an integer number (181025078).

Almost surely, 2^3506880006 is an apocalyptic number.

3506880006 is an abundant number, since it is smaller than the sum of its proper divisors (5182323738).

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

3506880006 is a wasteful number, since it uses less digits than its factorization.

3506880006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17645 (or 17642 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3506880006 is about 59218.9159475247. The cubic root of 3506880006 is about 1519.2886800423.

The spelling of 3506880006 in words is "three billion, five hundred six million, eight hundred eighty thousand, six".