3534409728 has 312 divisors, whose sum is σ = 10948156128. Its totient is φ = 1138655232.

The previous prime is 3534409717. The next prime is 3534409763. The reversal of 3534409728 is 8279044353.

3534409728 is a `hidden beast` number, since 3 + 534 + 4 + 0 + 97 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52752351 + ... + 52752417.

It is an arithmetic number, because the mean of its divisors is an integer number (35090244).

Almost surely, 2^3534409728 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 3534409728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474078064).

3534409728 is an abundant number, since it is smaller than the sum of its proper divisors (7413746400).

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

3534409728 is an frugal number, since it uses more digits than its factorization.

3534409728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3534409728 is about 59450.9018266334. The cubic root of 3534409728 is about 1523.2538972996.

The spelling of 3534409728 in words is "three billion, five hundred thirty-four million, four hundred nine thousand, seven hundred twenty-eight".