3506406660 has 72 divisors (see below), whose sum is σ = 10640926296. Its totient is φ = 934617600.

The previous prime is 3506406647. The next prime is 3506406667. The reversal of 3506406660 is 666046053.

It can be written as a sum of positive squares in 4 ways, for example, as 22810176 + 3483596484 = 4776^2 + 59022^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3506406667) 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, 753862 + ... + 758498.

It is an arithmetic number, because the mean of its divisors is an integer number (147790643).

Almost surely, 2^3506406660 is an apocalyptic number.

3506406660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3506406660 is an abundant number, since it is smaller than the sum of its proper divisors (7134519636).

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

3506406660 is a wasteful number, since it uses less digits than its factorization.

3506406660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8853 (or 8848 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3506406660 is about 59214.9192349361. The cubic root of 3506406660 is about 1519.2203209332.

The spelling of 3506406660 in words is "three billion, five hundred six million, four hundred six thousand, six hundred sixty".