3896928 has 72 divisors (see below), whose sum is σ = 12671568. Its totient is φ = 1112832.

The previous prime is 3896923. The next prime is 3896929. The reversal of 3896928 is 8296983.

It is a tau number, because it is divible by the number of its divisors (72).

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 (3896923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1050 + ... + 2982.

It is an arithmetic number, because the mean of its divisors is an integer number (175994).

Almost surely, 2^3896928 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 3896928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6335784).

3896928 is an abundant number, since it is smaller than the sum of its proper divisors (8774640).

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

3896928 is a wasteful number, since it uses less digits than its factorization.

3896928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1945 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 3896928 is about 1974.0638287553. The cubic root of 3896928 is about 157.3647516176.

The spelling of 3896928 in words is "three million, eight hundred ninety-six thousand, nine hundred twenty-eight".