3901885600 has 144 divisors (see below), whose sum is σ = 10463705280. Its totient is φ = 1414195200.

The previous prime is 3901885597. The next prime is 3901885601. The reversal of 3901885600 is 65881093.

It is a happy number.

It is a super-2 number, since 2×3901885600² = 30449422470974720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3901885601) 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 23 ways as a sum of consecutive naturals, for example, 344020 + ... + 355180.

It is an arithmetic number, because the mean of its divisors is an integer number (72664620).

Almost surely, 2^3901885600 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 3901885600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5231852640).

3901885600 is an abundant number, since it is smaller than the sum of its proper divisors (6561819680).

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

3901885600 is a wasteful number, since it uses less digits than its factorization.

3901885600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11223 (or 11210 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 3901885600 is about 62465.0750419785. The cubic root of 3901885600 is about 1574.3145551831.

The spelling of 3901885600 in words is "three billion, nine hundred one million, eight hundred eighty-five thousand, six hundred".