3954960 has 80 divisors (see below), whose sum is σ = 13630080. Its totient is φ = 1054080.

The previous prime is 3954959. The next prime is 3954961. The reversal of 3954960 is 694593.

It is an interprime number because it is at equal distance from previous prime (3954959) and next prime (3954961).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3954961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1245 + ... + 3075.

It is an arithmetic number, because the mean of its divisors is an integer number (170376).

Almost surely, 2^3954960 is an apocalyptic number.

3954960 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 3954960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6815040).

3954960 is an abundant number, since it is smaller than the sum of its proper divisors (9675120).

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

3954960 is a wasteful number, since it uses less digits than its factorization.

3954960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3954960 is about 1988.7081233806. The cubic root of 3954960 is about 158.1420503208.

The spelling of 3954960 in words is "three million, nine hundred fifty-four thousand, nine hundred sixty".