3957437952 has 480 divisors, whose sum is σ = 13532571360. Its totient is φ = 1134673920.

The previous prime is 3957437951. The next prime is 3957437987. The reversal of 3957437952 is 2597347593.

3957437952 is a `hidden beast` number, since 39 + 574 + 37 + 9 + 5 + 2 = 666.

It is a super-2 number, since 2×3957437952² = 31322630287859908608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7144200) is a multiple of the sum of its prime divisors (98).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3957437951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64876002 + ... + 64876062.

It is an arithmetic number, because the mean of its divisors is an integer number (28192857).

Almost surely, 2^3957437952 is an apocalyptic number.

3957437952 is a gapful number since it is divisible by the number (32) 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 3957437952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6766285680).

3957437952 is an abundant number, since it is smaller than the sum of its proper divisors (9575133408).

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

3957437952 is a wasteful number, since it uses less digits than its factorization.

3957437952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 98 counting only the distinct ones).

The product of its digits is 7144200, while the sum is 54.

The square root of 3957437952 is about 62908.1707888570. The cubic root of 3957437952 is about 1581.7507101693.

It can be divided in two parts, 395 and 7437952, that added together give a palindrome (7438347).

The spelling of 3957437952 in words is "three billion, nine hundred fifty-seven million, four hundred thirty-seven thousand, nine hundred fifty-two".