3968257504 has 48 divisors (see below), whose sum is σ = 8293150656. Its totient is φ = 1862656000.

The previous prime is 3968257463. The next prime is 3968257561. The reversal of 3968257504 is 4057528693.

3968257504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209049 + ... + 227239.

It is an arithmetic number, because the mean of its divisors is an integer number (172773972).

Almost surely, 2^3968257504 is an apocalyptic number.

3968257504 is a gapful number since it is divisible by the number (34) 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 3968257504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146575328).

3968257504 is an abundant number, since it is smaller than the sum of its proper divisors (4324893152).

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

3968257504 is a wasteful number, since it uses less digits than its factorization.

3968257504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18619 (or 18611 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

The square root of 3968257504 is about 62994.1068989791. The cubic root of 3968257504 is about 1583.1908895333.

The spelling of 3968257504 in words is "three billion, nine hundred sixty-eight million, two hundred fifty-seven thousand, five hundred four".