3948160 has 64 divisors (see below), whose sum is σ = 9792000. Its totient is φ = 1520640.

The previous prime is 3948151. The next prime is 3948163. The reversal of 3948160 is 618493.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3948163) 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, 19741 + ... + 19939.

It is an arithmetic number, because the mean of its divisors is an integer number (153000).

Almost surely, 2^3948160 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 3948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896000).

3948160 is an abundant number, since it is smaller than the sum of its proper divisors (5843840).

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

3948160 is a wasteful number, since it uses less digits than its factorization.

3948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 3948160 is about 1986.9977352780. The cubic root of 3948160 is about 158.0513639552.

The spelling of 3948160 in words is "three million, nine hundred forty-eight thousand, one hundred sixty".