3985920 has 120 divisors (see below), whose sum is σ = 13884156. Its totient is φ = 1056768.

The previous prime is 3985903. The next prime is 3985951. The reversal of 3985920 is 295893.

3985920 = 57³ + 58³ + ... + 71³.

It can be written as a sum of positive squares in 2 ways, for example, as 3873024 + 112896 = 1968^2 + 336^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22954 + ... + 23126.

Almost surely, 2^3985920 is an apocalyptic number.

3985920 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 3985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6942078).

3985920 is an abundant number, since it is smaller than the sum of its proper divisors (9898236).

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

3985920 is a wasteful number, since it uses less digits than its factorization.

3985920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 183 counting only the distinct ones).

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

The square root of 3985920 is about 1996.4768969362. The cubic root of 3985920 is about 158.5536311724.

The spelling of 3985920 in words is "three million, nine hundred eighty-five thousand, nine hundred twenty".