3953880 has 128 divisors (see below), whose sum is σ = 15091200. Its totient is φ = 902016.

The previous prime is 3953879. The next prime is 3953909. The reversal of 3953880 is 883593.

3953880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7299 + ... + 7821.

It is an arithmetic number, because the mean of its divisors is an integer number (117900).

Almost surely, 2^3953880 is an apocalyptic number.

3953880 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 3953880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7545600).

3953880 is an abundant number, since it is smaller than the sum of its proper divisors (11137320).

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

3953880 is a wasteful number, since it uses less digits than its factorization.

3953880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3953880 is about 1988.4365717820. The cubic root of 3953880 is about 158.1276541395.

The spelling of 3953880 in words is "three million, nine hundred fifty-three thousand, eight hundred eighty".