3542565888 has 176 divisors, whose sum is σ = 10778028160. Its totient is φ = 1148608512.

The previous prime is 3542565881. The next prime is 3542565899. The reversal of 3542565888 is 8885652453.

3542565888 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 56 + 588 + 8 = 666.

It is a super-3 number, since 3×3542565888³ (a number of 30 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3542565881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1021245 + ... + 1024707.

Almost surely, 2^3542565888 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 3542565888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5389014080).

3542565888 is an abundant number, since it is smaller than the sum of its proper divisors (7235462272).

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

3542565888 is a wasteful number, since it uses less digits than its factorization.

3542565888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529 (or 3505 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 54.

The square root of 3542565888 is about 59519.4580620489. The cubic root of 3542565888 is about 1524.4247064820.

It can be divided in two parts, 3542565 and 888, that added together give a palindrome (3543453).

The spelling of 3542565888 in words is "three billion, five hundred forty-two million, five hundred sixty-five thousand, eight hundred eighty-eight".