3534539904 has 768 divisors, whose sum is σ = 13747968000. Its totient is φ = 846692352.

The previous prime is 3534539903. The next prime is 3534539941. The reversal of 3534539904 is 4099354353.

It is a super-3 number, since 3×3534539904³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3534539904.

It is not an unprimeable number, because it can be changed into a prime (3534539903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59907427 + ... + 59907485.

It is an arithmetic number, because the mean of its divisors is an integer number (17901000).

Almost surely, 2^3534539904 is an apocalyptic number.

3534539904 is a gapful number since it is divisible by the number (34) 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 3534539904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6873984000).

3534539904 is an abundant number, since it is smaller than the sum of its proper divisors (10213428096).

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

3534539904 is a wasteful number, since it uses less digits than its factorization.

3534539904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The square root of 3534539904 is about 59451.9966359415. The cubic root of 3534539904 is about 1523.2725980804.

The spelling of 3534539904 in words is "three billion, five hundred thirty-four million, five hundred thirty-nine thousand, nine hundred four".