3967323360 has 768 divisors, whose sum is σ = 17557585920. Its totient is φ = 725852160.

The previous prime is 3967323343. The next prime is 3967323361. The reversal of 3967323360 is 633237693.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967323361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11050861 + ... + 11051219.

It is an arithmetic number, because the mean of its divisors is an integer number (22861440).

Almost surely, 2^3967323360 is an apocalyptic number.

3967323360 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 3967323360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8778792960).

3967323360 is an abundant number, since it is smaller than the sum of its proper divisors (13590262560).

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

3967323360 is a wasteful number, since it uses less digits than its factorization.

3967323360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 42.

The square root of 3967323360 is about 62986.6919277398. The cubic root of 3967323360 is about 1583.0666499199.

The spelling of 3967323360 in words is "three billion, nine hundred sixty-seven million, three hundred twenty-three thousand, three hundred sixty".