3957546240 has 216 divisors, whose sum is σ = 13861018080. Its totient is φ = 1042378752.

The previous prime is 3957546181. The next prime is 3957546247. The reversal of 3957546240 is 426457593.

3957546240 is a `hidden beast` number, since 39 + 57 + 546 + 24 + 0 = 666.

3957546240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3957546247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 954091 + ... + 958229.

It is an arithmetic number, because the mean of its divisors is an integer number (64171380).

Almost surely, 2^3957546240 is an apocalyptic number.

3957546240 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 3957546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6930509040).

3957546240 is an abundant number, since it is smaller than the sum of its proper divisors (9903471840).

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

3957546240 is a wasteful number, since it uses less digits than its factorization.

3957546240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4249 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 3957546240 is about 62909.0314660781. The cubic root of 3957546240 is about 1581.7651372693.

The spelling of 3957546240 in words is "three billion, nine hundred fifty-seven million, five hundred forty-six thousand, two hundred forty".