3948833952 has 216 divisors, whose sum is σ = 13514728500. Its totient is φ = 1089220608.

The previous prime is 3948833947. The next prime is 3948834031. The reversal of 3948833952 is 2593388493.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3770451216 + 178382736 = 61404^2 + 13356^2 .

It is a super-4 number, since 4×3948833952⁴ (a number of 39 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 404424 + ... + 414072.

Almost surely, 2^3948833952 is an apocalyptic number.

3948833952 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 3948833952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6757364250).

3948833952 is an abundant number, since it is smaller than the sum of its proper divisors (9565894548).

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

3948833952 is a wasteful number, since it uses less digits than its factorization.

3948833952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9708 (or 9690 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 3948833952 is about 62839.7481853643. The cubic root of 3948833952 is about 1580.6035658064.

The spelling of 3948833952 in words is "three billion, nine hundred forty-eight million, eight hundred thirty-three thousand, nine hundred fifty-two".