3923920 has 160 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 1128960.

The previous prime is 3923917. The next prime is 3923963. The reversal of 3923920 is 293293.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301834 + ... + 301846.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

Almost surely, 2^3923920 is an apocalyptic number.

3923920 is the 1144-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3923920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600).

3923920 is an abundant number, since it is smaller than the sum of its proper divisors (8575280).

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

3923920 is a wasteful number, since it uses less digits than its factorization.

3923920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 3923920 is about 1980.8886894523. Note that the first 3 decimals coincide. The cubic root of 3923920 is about 157.7272439868.

The spelling of 3923920 in words is "three million, nine hundred twenty-three thousand, nine hundred twenty".