3988512 has 72 divisors (see below), whose sum is σ = 12383280. Its totient is φ = 1207680.

The previous prime is 3988487. The next prime is 3988513. The reversal of 3988512 is 2158893.

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 (3988513) 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, 2539 + ... + 3797.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 2^3988512 is an apocalyptic number.

3988512 is a gapful number since it is divisible by the number (32) 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 3988512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191640).

3988512 is an abundant number, since it is smaller than the sum of its proper divisors (8394768).

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

3988512 is a wasteful number, since it uses less digits than its factorization.

3988512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1275 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 3988512 is about 1997.1259349375. The cubic root of 3988512 is about 158.5879922869.

The spelling of 3988512 in words is "three million, nine hundred eighty-eight thousand, five hundred twelve".