3957279040 has 224 divisors, whose sum is σ = 11724217344. Its totient is φ = 1249935360.

The previous prime is 3957279031. The next prime is 3957279049. The reversal of 3957279040 is 409727593.

It is an interprime number because it is at equal distance from previous prime (3957279031) and next prime (3957279049).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3957279049) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 775377 + ... + 780463.

It is an arithmetic number, because the mean of its divisors is an integer number (52340256).

Almost surely, 2^3957279040 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 3957279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5862108672).

3957279040 is an abundant number, since it is smaller than the sum of its proper divisors (7766938304).

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

3957279040 is a wasteful number, since it uses less digits than its factorization.

3957279040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 46.

The square root of 3957279040 is about 62906.9077288019. The cubic root of 3957279040 is about 1581.7295380089.

The spelling of 3957279040 in words is "three billion, nine hundred fifty-seven million, two hundred seventy-nine thousand, forty".