3988320 has 96 divisors (see below), whose sum is σ = 14370048. Its totient is φ = 910848.

The previous prime is 3988301. The next prime is 3988321. The reversal of 3988320 is 238893.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3988321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2767 + ... + 3953.

It is an arithmetic number, because the mean of its divisors is an integer number (149688).

Almost surely, 2^3988320 is an apocalyptic number.

3988320 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 3988320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185024).

3988320 is an abundant number, since it is smaller than the sum of its proper divisors (10381728).

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

3988320 is a wasteful number, since it uses less digits than its factorization.

3988320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3988320 is about 1997.0778652822. The cubic root of 3988320 is about 158.5854475298.

It can be divided in two parts, 39883 and 20, that added together give a triangular number (39903 = T₂₈₂).

The spelling of 3988320 in words is "three million, nine hundred eighty-eight thousand, three hundred twenty".