3938880 has 112 divisors (see below), whose sum is σ = 13679424. Its totient is φ = 952320.

The previous prime is 3938839. The next prime is 3938897. The reversal of 3938880 is 888393.

It is a happy number.

It is a super-3 number, since 3×3938880³ (a number of 21 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10374 + ... + 10746.

Almost surely, 2^3938880 is an apocalyptic number.

3938880 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 3938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6839712).

3938880 is an abundant number, since it is smaller than the sum of its proper divisors (9740544).

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

3938880 is a wasteful number, since it uses less digits than its factorization.

3938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 3938880 is about 1984.6611801514. The cubic root of 3938880 is about 157.9274355671.

The spelling of 3938880 in words is "three million, nine hundred thirty-eight thousand, eight hundred eighty".