3567248640 has 288 divisors, whose sum is σ = 12741805440. Its totient is φ = 945045504.

The previous prime is 3567248603. The next prime is 3567248681. The reversal of 3567248640 is 468427653.

3567248640 is a `hidden beast` number, since 3 + 567 + 2 + 4 + 86 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8052259 + ... + 8052701.

It is an arithmetic number, because the mean of its divisors is an integer number (44242380).

Almost surely, 2^3567248640 is an apocalyptic number.

3567248640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3567248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6370902720).

3567248640 is an abundant number, since it is smaller than the sum of its proper divisors (9174556800).

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

3567248640 is a wasteful number, since it uses less digits than its factorization.

3567248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 3567248640 is about 59726.4484127426. The cubic root of 3567248640 is about 1527.9569809622.

The spelling of 3567248640 in words is "three billion, five hundred sixty-seven million, two hundred forty-eight thousand, six hundred forty".