3965118400 has 84 divisors (see below), whose sum is σ = 9801303232. Its totient is φ = 1578792960.

The previous prime is 3965118389. The next prime is 3965118427. The reversal of 3965118400 is 48115693.

It is a self number, because there is not a number n which added to its sum of digits gives 3965118400.

It is a congruent number.

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, 351244 + ... + 362356.

Almost surely, 2^3965118400 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 3965118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900651616).

3965118400 is an abundant number, since it is smaller than the sum of its proper divisors (5836184832).

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

3965118400 is a wasteful number, since it uses less digits than its factorization.

3965118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11358 (or 11343 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 3965118400 is about 62969.1861151151. The cubic root of 3965118400 is about 1582.7733165066.

The spelling of 3965118400 in words is "three billion, nine hundred sixty-five million, one hundred eighteen thousand, four hundred".