3564477648 has 60 divisors (see below), whose sum is σ = 9989942820. Its totient is φ = 1186449408.

The previous prime is 3564477629. The next prime is 3564477659. The reversal of 3564477648 is 8467744653.

3564477648 is a `hidden beast` number, since 3 + 564 + 4 + 7 + 76 + 4 + 8 = 666.

3564477648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1041223824 + 2523253824 = 32268^2 + 50232^2 .

It is a super-2 number, since 2×3564477648² = 25411001806183223808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3564477594 and 3564477603.

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, 84640 + ... + 119552.

It is an arithmetic number, because the mean of its divisors is an integer number (166499047).

Almost surely, 2^3564477648 is an apocalyptic number.

It is an amenable number.

3564477648 is an abundant number, since it is smaller than the sum of its proper divisors (6425465172).

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

3564477648 is a wasteful number, since it uses less digits than its factorization.

3564477648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35636 (or 35627 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The square root of 3564477648 is about 59703.2465448907. The cubic root of 3564477648 is about 1527.5612461569.

The spelling of 3564477648 in words is "three billion, five hundred sixty-four million, four hundred seventy-seven thousand, six hundred forty-eight".