3948338493 has 64 divisors (see below), whose sum is σ = 6708787200. Its totient is φ = 2271646080.

The previous prime is 3948338483. The next prime is 3948338497.

3948338493 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3948338493 - 2⁴ = 3948338477 is a prime.

It is a super-2 number, since 2×3948338493² = 31178753710611022098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3948338497) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 933738 + ... + 937956.

It is an arithmetic number, because the mean of its divisors is an integer number (104824800).

Almost surely, 2^3948338493 is an apocalyptic number.

3948338493 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3948338493 is a deficient number, since it is larger than the sum of its proper divisors (2760448707).

3948338493 is a wasteful number, since it uses less digits than its factorization.

3948338493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4399 (or 4393 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 3948338493 is about 62835.8058196121. The cubic root of 3948338493 is about 1580.5374570912.

The spelling of 3948338493 in words is "three billion, nine hundred forty-eight million, three hundred thirty-eight thousand, four hundred ninety-three".