3540585888 has 288 divisors, whose sum is σ = 11981878272. Its totient is φ = 970444800.

The previous prime is 3540585877. The next prime is 3540585889. The reversal of 3540585888 is 8885850453.

It is a happy number.

3540585888 is a `hidden beast` number, since 3 + 5 + 4 + 0 + 58 + 588 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3540585889) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11311620 + ... + 11311932.

It is an arithmetic number, because the mean of its divisors is an integer number (41603744).

Almost surely, 2^3540585888 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 3540585888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5990939136).

3540585888 is an abundant number, since it is smaller than the sum of its proper divisors (8441292384).

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

3540585888 is a wasteful number, since it uses less digits than its factorization.

3540585888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

The square root of 3540585888 is about 59502.8225212889. The cubic root of 3540585888 is about 1524.1406446346.

The spelling of 3540585888 in words is "three billion, five hundred forty million, five hundred eighty-five thousand, eight hundred eighty-eight".