3948415391844 has 1215 divisors, whose sum is σ = 14182098060585. Its totient is φ = 923268487680.

The previous prime is 3948415391779. The next prime is 3948415391873. The reversal of 3948415391844 is 4481935148493.

The square root of 3948415391844 is 1987062.

It is a perfect power (a square), and thus also a powerful number.

3948415391844 is a `hidden beast` number, since 3 + 9 + 4 + 8 + 41 + 539 + 18 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3074025824100 + 874389567744 = 1753290^2 + 935088^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 171670234417 + ... + 171670234439.

Almost surely, 2^{3948415391844} is an apocalyptic number.

3948415391844 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3948415391844 is the 1987062-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3948415391844

3948415391844 is an abundant number, since it is smaller than the sum of its proper divisors (10233682668741).

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

3948415391844 is a wasteful number, since it uses less digits than its factorization.

3948415391844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 63 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 3948415391844 in words is "three trillion, nine hundred forty-eight billion, four hundred fifteen million, three hundred ninety-one thousand, eight hundred forty-four".