3967317432 has 96 divisors (see below), whose sum is σ = 11718033600. Its totient is φ = 1205238528.

The previous prime is 3967317427. The next prime is 3967317437. The reversal of 3967317432 is 2347137693.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3967317427) and next prime (3967317437).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967317437) 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, 47118 + ... + 100770.

It is an arithmetic number, because the mean of its divisors is an integer number (122062850).

Almost surely, 2^3967317432 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 3967317432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859016800).

3967317432 is an abundant number, since it is smaller than the sum of its proper divisors (7750716168).

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

3967317432 is a wasteful number, since it uses less digits than its factorization.

3967317432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53757 (or 53750 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 3967317432 is about 62986.6448701628. The cubic root of 3967317432 is about 1583.0658614434.

The spelling of 3967317432 in words is "three billion, nine hundred sixty-seven million, three hundred seventeen thousand, four hundred thirty-two".