3884032385100 has 720 divisors, whose sum is σ = 14603765299200. Its totient is φ = 874589114880.

The previous prime is 3884032385083. The next prime is 3884032385171. The reversal of 3884032385100 is 15832304883.

3884032385100 is a `hidden beast` number, since 3 + 8 + 8 + 403 + 238 + 5 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3175823089 + ... + 3175824311.

It is an arithmetic number, because the mean of its divisors is an integer number (20283007360).

Almost surely, 2^{3884032385100} is an apocalyptic number.

3884032385100 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 3884032385100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7301882649600).

3884032385100 is an abundant number, since it is smaller than the sum of its proper divisors (10719732914100).

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

3884032385100 is a wasteful number, since it uses less digits than its factorization.

3884032385100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

Adding to 3884032385100 its reverse (15832304883), we get a palindrome (3899864689983).

The spelling of 3884032385100 in words is "three trillion, eight hundred eighty-four billion, thirty-two million, three hundred eighty-five thousand, one hundred".