3957973440 has 112 divisors (see below), whose sum is σ = 12581412480. Its totient is φ = 1054213120.

The previous prime is 3957973421. The next prime is 3957973451. The reversal of 3957973440 is 443797593.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1045471 + ... + 1049249.

It is an arithmetic number, because the mean of its divisors is an integer number (112334040).

Almost surely, 2^3957973440 is an apocalyptic number.

3957973440 is a gapful number since it is divisible by the number (30) 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 3957973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6290706240).

3957973440 is an abundant number, since it is smaller than the sum of its proper divisors (8623439040).

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

3957973440 is a wasteful number, since it uses less digits than its factorization.

3957973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4890 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 51.

The square root of 3957973440 is about 62912.4267533847. The cubic root of 3957973440 is about 1581.8220501233.

The spelling of 3957973440 in words is "three billion, nine hundred fifty-seven million, nine hundred seventy-three thousand, four hundred forty".