3572667648 has 432 divisors, whose sum is σ = 12213766656. Its totient is φ = 1030993920.

The previous prime is 3572667643. The next prime is 3572667667. The reversal of 3572667648 is 8467662753.

3572667648 is a `hidden beast` number, since 3 + 572 + 6 + 6 + 7 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3572667594 and 3572667603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3572667643) 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 47 ways as a sum of consecutive naturals, for example, 15738511 + ... + 15738737.

It is an arithmetic number, because the mean of its divisors is an integer number (28272608).

Almost surely, 2^3572667648 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 3572667648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106883328).

3572667648 is an abundant number, since it is smaller than the sum of its proper divisors (8641099008).

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

3572667648 is a wasteful number, since it uses less digits than its factorization.

3572667648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 266 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The square root of 3572667648 is about 59771.7964260737. The cubic root of 3572667648 is about 1528.7302960809.

The spelling of 3572667648 in words is "three billion, five hundred seventy-two million, six hundred sixty-seven thousand, six hundred forty-eight".