3168000400 has 60 divisors (see below), whose sum is σ = 7649560000. Its totient is φ = 1260800640.

The previous prime is 3168000389. The next prime is 3168000431. The reversal of 3168000400 is 40008613.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 59701 + ... + 99499.

Almost surely, 2^3168000400 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 3168000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824780000).

3168000400 is an abundant number, since it is smaller than the sum of its proper divisors (4481559600).

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

3168000400 is a wasteful number, since it uses less digits than its factorization.

3168000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40016 (or 40005 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 3168000400 is about 56284.9926712263. The cubic root of 3168000400 is about 1468.6841542233.

It can be divided in two parts, 3168000 and 400, that added together give a square (3168400 = 1780²).

The spelling of 3168000400 in words is "three billion, one hundred sixty-eight million, four hundred", and thus it is an aban number.