3920400 has 225 divisors, whose sum is σ = 15465373. Its totient is φ = 950400.

The previous prime is 3920383. The next prime is 3920401. The reversal of 3920400 is 40293.

The square root of 3920400 is 1980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1411344 + 2509056 = 1188^2 + 1584^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3920401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 356395 + ... + 356405.

Almost surely, 2^3920400 is an apocalyptic number.

3920400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3920400 is the 1980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3920400

3920400 is an abundant number, since it is smaller than the sum of its proper divisors (11544973).

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

3920400 is a wasteful number, since it uses less digits than its factorization.

3920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The cubic root of 3920400 is about 157.6800661648.

Adding to 3920400 its reverse (40293), we get a palindrome (3960693).

The spelling of 3920400 in words is "three million, nine hundred twenty thousand, four hundred".