3506879984 has 40 divisors (see below), whose sum is σ = 7098563520. Its totient is φ = 1676192000.

The previous prime is 3506879947. The next prime is 3506880001. The reversal of 3506879984 is 4899786053.

3506879984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9449 + ... + 84279.

It is an arithmetic number, because the mean of its divisors is an integer number (177464088).

Almost surely, 2^3506879984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3506879984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549281760).

3506879984 is an abundant number, since it is smaller than the sum of its proper divisors (3591683536).

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

3506879984 is a wasteful number, since it uses less digits than its factorization.

3506879984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74969 (or 74963 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 59.

The square root of 3506879984 is about 59218.9157617733. The cubic root of 3506879984 is about 1519.2886768652.

The spelling of 3506879984 in words is "three billion, five hundred six million, eight hundred seventy-nine thousand, nine hundred eighty-four".