3895920 has 120 divisors (see below), whose sum is σ = 14972256. Its totient is φ = 889344.

The previous prime is 3895909. The next prime is 3895921. The reversal of 3895920 is 295983.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3895921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4654 + ... + 5426.

Almost surely, 2^3895920 is an apocalyptic number.

3895920 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 3895920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7486128).

3895920 is an abundant number, since it is smaller than the sum of its proper divisors (11076336).

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

3895920 is a wasteful number, since it uses less digits than its factorization.

3895920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 3895920 is about 1973.8085013496. The cubic root of 3895920 is about 157.3511821814.

The spelling of 3895920 in words is "three million, eight hundred ninety-five thousand, nine hundred twenty".