3930400 has 72 divisors (see below), whose sum is σ = 10194660. Its totient is φ = 1479680.

The previous prime is 3930391. The next prime is 3930439. The reversal of 3930400 is 40393.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 1607824 + 2322576 = 1268^2 + 1524^2 .

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, 231192 + ... + 231208.

Almost surely, 2^3930400 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 3930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097330).

3930400 is an abundant number, since it is smaller than the sum of its proper divisors (6264260).

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

3930400 is an equidigital number, since it uses as much as digits as its factorization.

3930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 3930400 is about 1982.5236442474. The cubic root of 3930400 is about 157.8140203428.

Adding to 3930400 its reverse (40393), we get a palindrome (3970793).

The spelling of 3930400 in words is "three million, nine hundred thirty thousand, four hundred".