3948221952 has 120 divisors (see below), whose sum is σ = 11890582704. Its totient is φ = 1258819584.

The previous prime is 3948221939. The next prime is 3948221957. The reversal of 3948221952 is 2591228493.

It is a junction number, because it is equal to n+sod(n) for n = 3948221898 and 3948221907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3948221957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87358 + ... + 124610.

Almost surely, 2^3948221952 is an apocalyptic number.

3948221952 is a gapful number since it is divisible by the number (32) 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 3948221952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5945291352).

3948221952 is an abundant number, since it is smaller than the sum of its proper divisors (7942360752).

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

3948221952 is a wasteful number, since it uses less digits than its factorization.

3948221952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37300 (or 37281 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 3948221952 is about 62834.8784672971. The cubic root of 3948221952 is about 1580.5219063114.

The spelling of 3948221952 in words is "three billion, nine hundred forty-eight million, two hundred twenty-one thousand, nine hundred fifty-two".