3857920 has 80 divisors (see below), whose sum is σ = 10164528. Its totient is φ = 1392640.

The previous prime is 3857911. The next prime is 3857921. The reversal of 3857920 is 297583.

3857920 = T₁₁ + T₁₂ + ... + T₂₈₄.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3857921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28092 + ... + 28228.

Almost surely, 2^3857920 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 3857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5082264).

3857920 is an abundant number, since it is smaller than the sum of its proper divisors (6306608).

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

3857920 is a wasteful number, since it uses less digits than its factorization.

3857920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 3857920 is about 1964.1588530463. The cubic root of 3857920 is about 156.8379194699.

The spelling of 3857920 in words is "three million, eight hundred fifty-seven thousand, nine hundred twenty".