3996712800 has 288 divisors, whose sum is σ = 14810614560. Its totient is φ = 1039564800.

The previous prime is 3996712777. The next prime is 3996712831. The reversal of 3996712800 is 82176993.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 883344 + ... + 887856.

It is an arithmetic number, because the mean of its divisors is an integer number (51425745).

Almost surely, 2^3996712800 is an apocalyptic number.

3996712800 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 3996712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405307280).

3996712800 is an abundant number, since it is smaller than the sum of its proper divisors (10813901760).

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

3996712800 is a wasteful number, since it uses less digits than its factorization.

3996712800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4583 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 3996712800 is about 63219.5602642094. The cubic root of 3996712800 is about 1586.9660907345.

The spelling of 3996712800 in words is "three billion, nine hundred ninety-six million, seven hundred twelve thousand, eight hundred".