3951948 has 144 divisors (see below), whose sum is σ = 12870144. Its totient is φ = 927360.

The previous prime is 3951947. The next prime is 3951967. The reversal of 3951948 is 8491593.

3951948 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 (39).

It is not an unprimeable number, because it can be changed into a prime (3951947) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 84061 + ... + 84107.

It is an arithmetic number, because the mean of its divisors is an integer number (89376).

Almost surely, 2^3951948 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 3951948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435072).

3951948 is an abundant number, since it is smaller than the sum of its proper divisors (8918196).

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

3951948 is a wasteful number, since it uses less digits than its factorization.

3951948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 83 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 3951948 is about 1987.9507036142. The cubic root of 3951948 is about 158.1018944300.

The spelling of 3951948 in words is "three million, nine hundred fifty-one thousand, nine hundred forty-eight".