3937248 has 180 divisors, whose sum is σ = 13904352. Its totient is φ = 1088640.

The previous prime is 3937229. The next prime is 3937249. The reversal of 3937248 is 8427393.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3937249) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 126993 + ... + 127023.

Almost surely, 2^3937248 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 3937248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6952176).

3937248 is an abundant number, since it is smaller than the sum of its proper divisors (9967104).

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

3937248 is a wasteful number, since it uses less digits than its factorization.

3937248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 43 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3937248 is about 1984.2499842510. The cubic root of 3937248 is about 157.9056211444.

The spelling of 3937248 in words is "three million, nine hundred thirty-seven thousand, two hundred forty-eight".