3942960 has 80 divisors (see below), whose sum is σ = 13975296. Its totient is φ = 900864.

The previous prime is 3942947. The next prime is 3942977. The reversal of 3942960 is 692493.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507 + ... + 2853.

Almost surely, 2^3942960 is an apocalyptic number.

3942960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3942960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6987648).

3942960 is an abundant number, since it is smaller than the sum of its proper divisors (10032336).

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

3942960 is a wasteful number, since it uses less digits than its factorization.

3942960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 3942960 is about 1985.6887973698. The cubic root of 3942960 is about 157.9819452745.

The spelling of 3942960 in words is "three million, nine hundred forty-two thousand, nine hundred sixty".