3529319904 has 192 divisors, whose sum is σ = 11385722880. Its totient is φ = 1054632960.

The previous prime is 3529319903. The next prime is 3529319929. The reversal of 3529319904 is 4099139253.

3529319904 is a `hidden beast` number, since 3 + 529 + 31 + 9 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3529319904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3529319903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691249 + ... + 696335.

It is an arithmetic number, because the mean of its divisors is an integer number (59300640).

Almost surely, 2^3529319904 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 3529319904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5692861440).

3529319904 is an abundant number, since it is smaller than the sum of its proper divisors (7856402976).

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

3529319904 is a wasteful number, since it uses less digits than its factorization.

3529319904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 3529319904 is about 59408.0794505259. The cubic root of 3529319904 is about 1522.5223447908.

The spelling of 3529319904 in words is "three billion, five hundred twenty-nine million, three hundred nineteen thousand, nine hundred four".