3971100 has 144 divisors (see below), whose sum is σ = 13776896. Its totient is φ = 864000.

The previous prime is 3971087. The next prime is 3971117. The reversal of 3971100 is 11793.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65070 + ... + 65130.

Almost surely, 2^3971100 is an apocalyptic number.

3971100 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 3971100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6888448).

3971100 is an abundant number, since it is smaller than the sum of its proper divisors (9805796).

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

3971100 is a wasteful number, since it uses less digits than its factorization.

3971100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 21.

The square root of 3971100 is about 1992.7619024861. The cubic root of 3971100 is about 158.3568816930.

Adding to 3971100 its reverse (11793), we get a palindrome (3982893).

The spelling of 3971100 in words is "three million, nine hundred seventy-one thousand, one hundred".