3958400 has 48 divisors (see below), whose sum is σ = 9786390. Its totient is φ = 1582080.

The previous prime is 3958397. The next prime is 3958439. The reversal of 3958400 is 48593.

3958400 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 3 ways, for example, as 3356224 + 602176 = 1832^2 + 776^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2582 + ... + 3818.

Almost surely, 2^3958400 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 3958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893195).

3958400 is an abundant number, since it is smaller than the sum of its proper divisors (5827990).

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

3958400 is a wasteful number, since it uses less digits than its factorization.

3958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 3958400 is about 1989.5728184713. The cubic root of 3958400 is about 158.1878873629.

The spelling of 3958400 in words is "three million, nine hundred fifty-eight thousand, four hundred".