3988480 has 88 divisors (see below), whose sum is σ = 10316880. Its totient is φ = 1474560.

The previous prime is 3988477. The next prime is 3988487. The reversal of 3988480 is 848893.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3988487) 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, 97260 + ... + 97300.

Almost surely, 2^3988480 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 3988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5158440).

3988480 is an abundant number, since it is smaller than the sum of its proper divisors (6328400).

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

3988480 is a wasteful number, since it uses less digits than its factorization.

3988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 3988480 is about 1997.1179234086. The cubic root of 3988480 is about 158.5875681664.

The spelling of 3988480 in words is "three million, nine hundred eighty-eight thousand, four hundred eighty".