3920420 has 48 divisors (see below), whose sum is σ = 9652608. Its totient is φ = 1309440.

The previous prime is 3920417. The next prime is 3920429. The reversal of 3920420 is 240293.

3920420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3920392 and 3920401.

It is not an unprimeable number, because it can be changed into a prime (3920429) 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 15 ways as a sum of consecutive naturals, for example, 5399 + ... + 6081.

It is an arithmetic number, because the mean of its divisors is an integer number (201096).

Almost surely, 2^3920420 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 3920420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826304).

3920420 is an abundant number, since it is smaller than the sum of its proper divisors (5732188).

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

3920420 is a wasteful number, since it uses less digits than its factorization.

3920420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3920420 is about 1980.0050504986. The cubic root of 3920420 is about 157.6803343004.

Subtracting from 3920420 its sum of digits (20), we obtain a square (3920400 = 1980²).

The spelling of 3920420 in words is "three million, nine hundred twenty thousand, four hundred twenty".