3534507648 has 192 divisors, whose sum is σ = 11699563200. Its totient is φ = 1003290624.

The previous prime is 3534507629. The next prime is 3534507659. The reversal of 3534507648 is 8467054353.

3534507648 is a `hidden beast` number, since 3 + 534 + 5 + 0 + 76 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1313088 + ... + 1315776.

It is an arithmetic number, because the mean of its divisors is an integer number (60935225).

Almost surely, 2^3534507648 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 3534507648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5849781600).

3534507648 is an abundant number, since it is smaller than the sum of its proper divisors (8165055552).

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

3534507648 is a wasteful number, since it uses less digits than its factorization.

3534507648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 3534507648 is about 59451.7253576379. The cubic root of 3534507648 is about 1523.2679643014.

The spelling of 3534507648 in words is "three billion, five hundred thirty-four million, five hundred seven thousand, six hundred forty-eight".