3966399360 has 768 divisors, whose sum is σ = 17711769600. Its totient is φ = 821145600.

The previous prime is 3966399331. The next prime is 3966399361. The reversal of 3966399360 is 639936693.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3966399297 and 3966399306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3966399361) 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, 14636025 + ... + 14636295.

It is an arithmetic number, because the mean of its divisors is an integer number (23062200).

Almost surely, 2^3966399360 is an apocalyptic number.

3966399360 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 3966399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8855884800).

3966399360 is an abundant number, since it is smaller than the sum of its proper divisors (13745370240).

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

3966399360 is a wasteful number, since it uses less digits than its factorization.

3966399360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4251528, while the sum is 54.

The square root of 3966399360 is about 62979.3566178633. The cubic root of 3966399360 is about 1582.9437402546.

The spelling of 3966399360 in words is "three billion, nine hundred sixty-six million, three hundred ninety-nine thousand, three hundred sixty".