3967207888 has 160 divisors (see below), whose sum is σ = 9619384320. Its totient is φ = 1549900800.

The previous prime is 3967207861. The next prime is 3967207889. The reversal of 3967207888 is 8887027693.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967207889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96761148 + ... + 96761188.

It is an arithmetic number, because the mean of its divisors is an integer number (60121152).

Almost surely, 2^3967207888 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 3967207888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809692160).

3967207888 is an abundant number, since it is smaller than the sum of its proper divisors (5652176432).

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

3967207888 is an equidigital number, since it uses as much as digits as its factorization.

3967207888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 58.

The square root of 3967207888 is about 62985.7752829954. The cubic root of 3967207888 is about 1583.0512909798.

The spelling of 3967207888 in words is "three billion, nine hundred sixty-seven million, two hundred seven thousand, eight hundred eighty-eight".