3938928 has 80 divisors (see below), whose sum is σ = 12261120. Its totient is φ = 1064448.

The previous prime is 3938927. The next prime is 3938939. The reversal of 3938928 is 8298393.

It is a super-3 number, since 3×3938928³ (a number of 21 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) 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 (42).

Its product of digits (93312) is a multiple of the sum of its prime divisors (648).

It is a self number, because there is not a number n which added to its sum of digits gives 3938928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3938923) 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, 6076 + ... + 6692.

It is an arithmetic number, because the mean of its divisors is an integer number (153264).

Almost surely, 2^3938928 is an apocalyptic number.

3938928 is a gapful number since it is divisible by the number (38) 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 3938928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6130560).

3938928 is an abundant number, since it is smaller than the sum of its proper divisors (8322192).

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

3938928 is a wasteful number, since it uses less digits than its factorization.

3938928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 648 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 3938928 is about 1984.6732728588. The cubic root of 3938928 is about 157.9280770765.

The spelling of 3938928 in words is "three million, nine hundred thirty-eight thousand, nine hundred twenty-eight".