3996918432000 has 1728 divisors, whose sum is σ = 16915531127040. Its totient is φ = 931627008000.

The previous prime is 3996918431969. The next prime is 3996918432043. The reversal of 3996918432000 is 2348196993.

3996918432000 is a `hidden beast` number, since 39 + 96 + 91 + 8 + 432 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×3996918432000² (a number of 26 digits) contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 1920670960 + ... + 1920673040.

Almost surely, 2^{3996918432000} is an apocalyptic number.

3996918432000 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 3996918432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8457765563520).

3996918432000 is an abundant number, since it is smaller than the sum of its proper divisors (12918612695040).

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

3996918432000 is a wasteful number, since it uses less digits than its factorization.

3996918432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 3996918432000 in words is "three trillion, nine hundred ninety-six billion, nine hundred eighteen million, four hundred thirty-two thousand".