3534882800 has 60 divisors (see below), whose sum is σ = 8509924080. Its totient is φ = 1411061760.

The previous prime is 3534882781. The next prime is 3534882829. The reversal of 3534882800 is 82884353.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192416 + ... + 209984.

It is an arithmetic number, because the mean of its divisors is an integer number (141832068).

Almost surely, 2^3534882800 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 3534882800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254962040).

3534882800 is an abundant number, since it is smaller than the sum of its proper divisors (4975041280).

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

3534882800 is a wasteful number, since it uses less digits than its factorization.

3534882800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18090 (or 18079 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The square root of 3534882800 is about 59454.8803715893. The cubic root of 3534882800 is about 1523.3218555232.

The spelling of 3534882800 in words is "three billion, five hundred thirty-four million, eight hundred eighty-two thousand, eight hundred".