3529758960 has 480 divisors, whose sum is σ = 15452760960. Its totient is φ = 700710912.

The previous prime is 3529758959. The next prime is 3529758979. The reversal of 3529758960 is 698579253.

3529758960 is a `hidden beast` number, since 3 + 52 + 9 + 7 + 589 + 6 + 0 = 666.

3529758960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3529758897 and 3529758906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1112256 + ... + 1115424.

It is an arithmetic number, because the mean of its divisors is an integer number (32193252).

Almost surely, 2^3529758960 is an apocalyptic number.

3529758960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3529758960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7726380480).

3529758960 is an abundant number, since it is smaller than the sum of its proper divisors (11923002000).

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

3529758960 is a wasteful number, since it uses less digits than its factorization.

3529758960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 3529758960 is about 59411.7745905641. The cubic root of 3529758960 is about 1522.5854773368.

The spelling of 3529758960 in words is "three billion, five hundred twenty-nine million, seven hundred fifty-eight thousand, nine hundred sixty".