3892968 has 64 divisors (see below), whose sum is σ = 11016000. Its totient is φ = 1273536.

The previous prime is 3892961. The next prime is 3892969. The reversal of 3892968 is 8692983.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3892961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14338 + ... + 14606.

It is an arithmetic number, because the mean of its divisors is an integer number (172125).

Almost surely, 2^3892968 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 3892968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508000).

3892968 is an abundant number, since it is smaller than the sum of its proper divisors (7123032).

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

3892968 is a wasteful number, since it uses less digits than its factorization.

3892968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 341 counting only the distinct ones).

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

The square root of 3892968 is about 1973.0605667338. The cubic root of 3892968 is about 157.3114296489.

The spelling of 3892968 in words is "three million, eight hundred ninety-two thousand, nine hundred sixty-eight".