3932960 has 48 divisors (see below), whose sum is σ = 9507456. Its totient is φ = 1536768.

The previous prime is 3932959. The next prime is 3932963. The reversal of 3932960 is 692393.

3932960 = T₂₄₁ + T₂₄₂ + ... + T₃₃₄.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3932963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7259 + ... + 7781.

It is an arithmetic number, because the mean of its divisors is an integer number (198072).

Almost surely, 2^3932960 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 3932960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753728).

3932960 is an abundant number, since it is smaller than the sum of its proper divisors (5574496).

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

3932960 is a wasteful number, since it uses less digits than its factorization.

3932960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 32.

The square root of 3932960 is about 1983.1691808820. The cubic root of 3932960 is about 157.8482760768.

The spelling of 3932960 in words is "three million, nine hundred thirty-two thousand, nine hundred sixty".