3931445952 has 504 divisors, whose sum is σ = 14150681376. Its totient is φ = 1021206528.

The previous prime is 3931445951. The next prime is 3931445953. The reversal of 3931445952 is 2595441393.

It is an interprime number because it is at equal distance from previous prime (3931445951) and next prime (3931445953).

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 3931445898 and 3931445907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3931445951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53855388 + ... + 53855460.

Almost surely, 2^3931445952 is an apocalyptic number.

3931445952 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 3931445952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7075340688).

3931445952 is an abundant number, since it is smaller than the sum of its proper divisors (10219235424).

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

3931445952 is a wasteful number, since it uses less digits than its factorization.

3931445952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 141 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 3931445952 is about 62701.2436240303. The cubic root of 3931445952 is about 1578.2801817597.

The spelling of 3931445952 in words is "three billion, nine hundred thirty-one million, four hundred forty-five thousand, nine hundred fifty-two".