3853920 has 192 divisors, whose sum is σ = 14708736. Its totient is φ = 829440.

The previous prime is 3853909. The next prime is 3853933. The reversal of 3853920 is 293583.

It is a happy number.

3853920 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 (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 104142 + ... + 104178.

It is an arithmetic number, because the mean of its divisors is an integer number (76608).

Almost surely, 2^3853920 is an apocalyptic number.

3853920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3853920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7354368).

3853920 is an abundant number, since it is smaller than the sum of its proper divisors (10854816).

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

3853920 is a wasteful number, since it uses less digits than its factorization.

3853920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 3853920 is about 1963.1403413918. The cubic root of 3853920 is about 156.7836960696.

The spelling of 3853920 in words is "three million, eight hundred fifty-three thousand, nine hundred twenty".