3960403200 has 864 divisors, whose sum is σ = 16393534080. Its totient is φ = 928972800.

The previous prime is 3960403199. The next prime is 3960403201. The reversal of 3960403200 is 23040693.

3960403200 is a `hidden beast` number, since 39 + 604 + 0 + 3 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3960403199) and next prime (3960403201).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3960403201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92102379 + ... + 92102421.

Almost surely, 2^3960403200 is an apocalyptic number.

3960403200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3960403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196767040).

3960403200 is an abundant number, since it is smaller than the sum of its proper divisors (12433130880).

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

3960403200 is a wasteful number, since it uses less digits than its factorization.

3960403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3960403200 is about 62931.7344429661. The cubic root of 3960403200 is about 1582.1456721137.

Adding to 3960403200 its reverse (23040693), we get a palindrome (3983443893).

The spelling of 3960403200 in words is "three billion, nine hundred sixty million, four hundred three thousand, two hundred".