3581567640 has 576 divisors, whose sum is σ = 14606991360. Its totient is φ = 744629760.

The previous prime is 3581567617. The next prime is 3581567651. The reversal of 3581567640 is 467651853.

3581567640 is a `hidden beast` number, since 3 + 5 + 81 + 567 + 6 + 4 + 0 = 666.

3581567640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 143 ways as a sum of consecutive naturals, for example, 28201257 + ... + 28201383.

It is an arithmetic number, because the mean of its divisors is an integer number (25359360).

Almost surely, 2^3581567640 is an apocalyptic number.

3581567640 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 3581567640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7303495680).

3581567640 is an abundant number, since it is smaller than the sum of its proper divisors (11025423720).

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

3581567640 is a wasteful number, since it uses less digits than its factorization.

3581567640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3581567640 is about 59846.1998793574. The cubic root of 3581567640 is about 1529.9986671781.

The spelling of 3581567640 in words is "three billion, five hundred eighty-one million, five hundred sixty-seven thousand, six hundred forty".