3957948416 has 96 divisors (see below), whose sum is σ = 8255575020. Its totient is φ = 1896480768.

The previous prime is 3957948409. The next prime is 3957948431. The reversal of 3957948416 is 6148497593.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74678246 + ... + 74678298.

Almost surely, 2^3957948416 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 3957948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127787510).

3957948416 is an abundant number, since it is smaller than the sum of its proper divisors (4297626604).

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

3957948416 is an frugal number, since it uses more digits than its factorization.

3957948416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 98 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 56.

The square root of 3957948416 is about 62912.2278734429. The cubic root of 3957948416 is about 1581.8187164645.

The spelling of 3957948416 in words is "three billion, nine hundred fifty-seven million, nine hundred forty-eight thousand, four hundred sixteen".