3967132288 has 64 divisors (see below), whose sum is σ = 9041296320. Its totient is φ = 1698508800.

The previous prime is 3967132271. The next prime is 3967132289. The reversal of 3967132288 is 8822317693.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3967132288² = 31476277180984229888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3967132289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1390063 + ... + 1392913.

It is an arithmetic number, because the mean of its divisors is an integer number (141270255).

Almost surely, 2^3967132288 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 3967132288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520648160).

3967132288 is an abundant number, since it is smaller than the sum of its proper divisors (5074164032).

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

3967132288 is a wasteful number, since it uses less digits than its factorization.

3967132288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4425 (or 4413 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The square root of 3967132288 is about 62985.1751446322. The cubic root of 3967132288 is about 1583.0412352562.

The spelling of 3967132288 in words is "three billion, nine hundred sixty-seven million, one hundred thirty-two thousand, two hundred eighty-eight".