3529509984 has 864 divisors, whose sum is σ = 14442714720. Its totient is φ = 830269440.

The previous prime is 3529509983. The next prime is 3529510001. The reversal of 3529509984 is 4899059253.

It is a happy number.

3529509984 is a `hidden beast` number, since 3 + 52 + 9 + 509 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3529509984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3529509983) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66594502 + ... + 66594554.

It is an arithmetic number, because the mean of its divisors is an integer number (16716105).

Almost surely, 2^3529509984 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 3529509984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7221357360).

3529509984 is an abundant number, since it is smaller than the sum of its proper divisors (10913204736).

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

3529509984 is a wasteful number, since it uses less digits than its factorization.

3529509984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The square root of 3529509984 is about 59409.6792113878. The cubic root of 3529509984 is about 1522.5496773327.

The spelling of 3529509984 in words is "three billion, five hundred twenty-nine million, five hundred nine thousand, nine hundred eighty-four".