3892960 has 48 divisors (see below), whose sum is σ = 9525600. Its totient is φ = 1501696.

The previous prime is 3892951. The next prime is 3892961. The reversal of 3892960 is 692983.

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4221 + ... + 5059.

It is an arithmetic number, because the mean of its divisors is an integer number (198450).

Almost surely, 2^3892960 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 3892960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762800).

3892960 is an abundant number, since it is smaller than the sum of its proper divisors (5632640).

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

3892960 is a wasteful number, since it uses less digits than its factorization.

3892960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 3892960 is about 1973.0585394255. The cubic root of 3892960 is about 157.3113218911.

The spelling of 3892960 in words is "three million, eight hundred ninety-two thousand, nine hundred sixty".