3877920 has 72 divisors (see below), whose sum is σ = 13238316. Its totient is φ = 1033728.

The previous prime is 3877901. The next prime is 3877927. The reversal of 3877920 is 297783.

3877920 = T₁₆₉ + T₁₇₀ + ... + T₃₀₃.

It can be written as a sum of positive squares in 2 ways, for example, as 3825936 + 51984 = 1956^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (3877927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94 + ... + 2786.

Almost surely, 2^3877920 is an apocalyptic number.

3877920 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 3877920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6619158).

3877920 is an abundant number, since it is smaller than the sum of its proper divisors (9360396).

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

3877920 is a wasteful number, since it uses less digits than its factorization.

3877920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 3877920 is about 1969.2435095742. The cubic root of 3877920 is about 157.1084757525.

The spelling of 3877920 in words is "three million, eight hundred seventy-seven thousand, nine hundred twenty".