3966100 has 36 divisors (see below), whose sum is σ = 9116604. Its totient is φ = 1492480.

The previous prime is 3966091. The next prime is 3966113. The reversal of 3966100 is 16693.

It can be written as a sum of positive squares in 6 ways, for example, as 21904 + 3944196 = 148^2 + 1986^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 534 + ... + 2866.

It is an arithmetic number, because the mean of its divisors is an integer number (253239).

Almost surely, 2^3966100 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 3966100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558302).

3966100 is an abundant number, since it is smaller than the sum of its proper divisors (5150504).

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

3966100 is a wasteful number, since it uses less digits than its factorization.

3966100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 3966100 is about 1991.5069670980. The cubic root of 3966100 is about 158.2903915557.

The spelling of 3966100 in words is "three million, nine hundred sixty-six thousand, one hundred".