3957866640 has 480 divisors, whose sum is σ = 16931416320. Its totient is φ = 805883904.

The previous prime is 3957866629. The next prime is 3957866641. The reversal of 3957866640 is 466687593.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3957866641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1899039 + ... + 1901121.

It is an arithmetic number, because the mean of its divisors is an integer number (35273784).

Almost surely, 2^3957866640 is an apocalyptic number.

3957866640 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 3957866640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8465708160).

3957866640 is an abundant number, since it is smaller than the sum of its proper divisors (12973549680).

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

3957866640 is a wasteful number, since it uses less digits than its factorization.

3957866640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 3957866640 is about 62911.5779487369. The cubic root of 3957866640 is about 1581.8078222937.

The spelling of 3957866640 in words is "three billion, nine hundred fifty-seven million, eight hundred sixty-six thousand, six hundred forty".