3642896 has 40 divisors (see below), whose sum is σ = 7633440. Its totient is φ = 1677824.

The previous prime is 3642883. The next prime is 3642911. The reversal of 3642896 is 6982463.

It is a super-4 number, since 4×3642896⁴ (a number of 27 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15935 + ... + 16161.

It is an arithmetic number, because the mean of its divisors is an integer number (190836).

Almost surely, 2^3642896 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 3642896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816720).

3642896 is an abundant number, since it is smaller than the sum of its proper divisors (3990544).

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

3642896 is a wasteful number, since it uses less digits than its factorization.

3642896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 3642896 is about 1908.6372101581. The cubic root of 3642896 is about 153.8682180662.

The spelling of 3642896 in words is "three million, six hundred forty-two thousand, eight hundred ninety-six".