3967322000 has 80 divisors (see below), whose sum is σ = 9610698864. Its totient is φ = 1584000000.

The previous prime is 3967321993. The next prime is 3967322017. The reversal of 3967322000 is 2237693.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 687698176 + 3279623824 = 26224^2 + 57268^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1320500 + ... + 1323500.

Almost surely, 2^3967322000 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 3967322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4805349432).

3967322000 is an abundant number, since it is smaller than the sum of its proper divisors (5643376864).

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

3967322000 is a wasteful number, since it uses less digits than its factorization.

3967322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 32.

The square root of 3967322000 is about 62986.6811318075. The cubic root of 3967322000 is about 1583.0664690280.

Adding to 3967322000 its reverse (2237693), we get a palindrome (3969559693).

The spelling of 3967322000 in words is "three billion, nine hundred sixty-seven million, three hundred twenty-two thousand".