3539983104 has 216 divisors, whose sum is σ = 11783512832. Its totient is φ = 1001134080.

The previous prime is 3539983079. The next prime is 3539983129. The reversal of 3539983104 is 4013899353.

3539983104 is a `hidden beast` number, since 3 + 539 + 9 + 8 + 3 + 104 = 666.

It is an interprime number because it is at equal distance from previous prime (3539983079) and next prime (3539983129).

It is a self number, because there is not a number n which added to its sum of digits gives 3539983104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1660119 + ... + 1662249.

Almost surely, 2^3539983104 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 3539983104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5891756416).

3539983104 is an abundant number, since it is smaller than the sum of its proper divisors (8243529728).

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

3539983104 is a wasteful number, since it uses less digits than its factorization.

3539983104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3539983104 is about 59497.7571341979. The cubic root of 3539983104 is about 1524.0541448513.

The spelling of 3539983104 in words is "three billion, five hundred thirty-nine million, nine hundred eighty-three thousand, one hundred four".