3984145436376 has 768 divisors, whose sum is σ = 13599813427200. Its totient is φ = 1069000934400.

The previous prime is 3984145436371. The next prime is 3984145436377. The reversal of 3984145436376 is 6736345414893.

It is a happy number.

3984145436376 is a `hidden beast` number, since 3 + 9 + 8 + 4 + 14 + 543 + 6 + 3 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3984145436371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1703353015 + ... + 1703355353.

It is an arithmetic number, because the mean of its divisors is an integer number (17708090400).

Almost surely, 2^{3984145436376} is an apocalyptic number.

3984145436376 is a gapful number since it is divisible by the number (36) 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 3984145436376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6799906713600).

3984145436376 is an abundant number, since it is smaller than the sum of its proper divisors (9615667990824).

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

3984145436376 is a wasteful number, since it uses less digits than its factorization.

3984145436376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 2506 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 63.

The spelling of 3984145436376 in words is "three trillion, nine hundred eighty-four billion, one hundred forty-five million, four hundred thirty-six thousand, three hundred seventy-six".