3585421952 has 128 divisors (see below), whose sum is σ = 8496192000. Its totient is φ = 1476154368.

The previous prime is 3585421951. The next prime is 3585421981. The reversal of 3585421952 is 2591245853.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (432000) is a multiple of the sum of its prime divisors (125).

It is not an unprimeable number, because it can be changed into a prime (3585421951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45385049 + ... + 45385127.

It is an arithmetic number, because the mean of its divisors is an integer number (66376500).

Almost surely, 2^3585421952 is an apocalyptic number.

3585421952 is a gapful number since it is divisible by the number (32) 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 3585421952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4248096000).

3585421952 is an abundant number, since it is smaller than the sum of its proper divisors (4910770048).

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

3585421952 is an frugal number, since it uses more digits than its factorization.

3585421952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 125 counting only the distinct ones).

The product of its digits is 432000, while the sum is 44.

The square root of 3585421952 is about 59878.3930312095. The cubic root of 3585421952 is about 1530.5473075771.

The spelling of 3585421952 in words is "three billion, five hundred eighty-five million, four hundred twenty-one thousand, nine hundred fifty-two".