3938480 has 80 divisors (see below), whose sum is σ = 11290944. Its totient is φ = 1244160.

The previous prime is 3938477. The next prime is 3938489. The reversal of 3938480 is 848393.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3938480.

It is not an unprimeable number, because it can be changed into a prime (3938489) 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, 7010 + ... + 7550.

Almost surely, 2^3938480 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 3938480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5645472).

3938480 is an abundant number, since it is smaller than the sum of its proper divisors (7352464).

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

3938480 is a wasteful number, since it uses less digits than its factorization.

3938480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 3938480 is about 1984.5604047244. The cubic root of 3938480 is about 157.9220894524.

The spelling of 3938480 in words is "three million, nine hundred thirty-eight thousand, four hundred eighty".