3535985880 has 512 divisors, whose sum is σ = 14376960000. Its totient is φ = 755080704.

The previous prime is 3535985857. The next prime is 3535985881. The reversal of 3535985880 is 885895353.

3535985880 is a `hidden beast` number, since 3 + 5 + 3 + 59 + 8 + 588 + 0 = 666.

3535985880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3535985880³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3535985881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14794801 + ... + 14795039.

It is an arithmetic number, because the mean of its divisors is an integer number (28080000).

Almost surely, 2^3535985880 is an apocalyptic number.

3535985880 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 3535985880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188480000).

3535985880 is an abundant number, since it is smaller than the sum of its proper divisors (10840974120).

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

3535985880 is a wasteful number, since it uses less digits than its factorization.

3535985880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The square root of 3535985880 is about 59464.1562624074. The cubic root of 3535985880 is about 1523.4802927530.

The spelling of 3535985880 in words is "three billion, five hundred thirty-five million, nine hundred eighty-five thousand, eight hundred eighty".