3601225920 has 224 divisors, whose sum is σ = 12211702272. Its totient is φ = 896974848.

The previous prime is 3601225879. The next prime is 3601225931. The reversal of 3601225920 is 295221063.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 947544 + ... + 951336.

It is an arithmetic number, because the mean of its divisors is an integer number (54516528).

Almost surely, 2^3601225920 is an apocalyptic number.

3601225920 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 3601225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6105851136).

3601225920 is an abundant number, since it is smaller than the sum of its proper divisors (8610476352).

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

3601225920 is a wasteful number, since it uses less digits than its factorization.

3601225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879 (or 3869 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 3601225920 is about 60010.2151304259. The cubic root of 3601225920 is about 1532.7928143136.

Adding to 3601225920 its reverse (295221063), we get a palindrome (3896446983).

The spelling of 3601225920 in words is "three billion, six hundred one million, two hundred twenty-five thousand, nine hundred twenty".