3994112100 has 144 divisors (see below), whose sum is σ = 12785181696. Its totient is φ = 954576000.

The previous prime is 3994112093. The next prime is 3994112117. The reversal of 3994112100 is 12114993.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225777 + ... + 242823.

It is an arithmetic number, because the mean of its divisors is an integer number (88785984).

Almost surely, 2^3994112100 is an apocalyptic number.

3994112100 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 3994112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6392590848).

3994112100 is an abundant number, since it is smaller than the sum of its proper divisors (8791069596).

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

3994112100 is a wasteful number, since it uses less digits than its factorization.

3994112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17146 (or 17139 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 3994112100 is about 63198.9881248110. The cubic root of 3994112100 is about 1586.6217979411.

The spelling of 3994112100 in words is "three billion, nine hundred ninety-four million, one hundred twelve thousand, one hundred".