3958100 has 18 divisors (see below), whose sum is σ = 8589294. Its totient is φ = 1583200.

The previous prime is 3958091. The next prime is 3958103. The reversal of 3958100 is 18593.

3958100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 446224 + 3511876 = 668^2 + 1874^2 .

It is a super-2 number, since 2×3958100² = 31333111220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3958100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3958103) 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 5 ways as a sum of consecutive naturals, for example, 19691 + ... + 19890.

It is an arithmetic number, because the mean of its divisors is an integer number (477183).

Almost surely, 2^3958100 is an apocalyptic number.

It is an amenable number.

3958100 is an abundant number, since it is smaller than the sum of its proper divisors (4631194).

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

3958100 is a wasteful number, since it uses less digits than its factorization.

3958100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39595 (or 39588 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 3958100 is about 1989.4974239742. The cubic root of 3958100 is about 158.1838910036.

The spelling of 3958100 in words is "three million, nine hundred fifty-eight thousand, one hundred".