3897936 has 80 divisors (see below), whose sum is σ = 12796800. Its totient is φ = 1112832.

The previous prime is 3897899. The next prime is 3897937. The reversal of 3897936 is 6397983.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 3897891 and 3897900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3897937) 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, 2380 + ... + 3668.

It is an arithmetic number, because the mean of its divisors is an integer number (159960).

Almost surely, 2^3897936 is an apocalyptic number.

3897936 is a gapful number since it is divisible by the number (36) 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 3897936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6398400).

3897936 is an abundant number, since it is smaller than the sum of its proper divisors (8898864).

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

3897936 is a wasteful number, since it uses less digits than its factorization.

3897936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1301 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 3897936 is about 1974.3191231409. The cubic root of 3897936 is about 157.3783187141.

The spelling of 3897936 in words is "three million, eight hundred ninety-seven thousand, nine hundred thirty-six".