3984673222656 has 728 divisors, whose sum is σ = 13717065358080. Its totient is φ = 1133216759808.

The previous prime is 3984673222631. The next prime is 3984673222661. The reversal of 3984673222656 is 6562223764893.

3984673222656 is a `hidden beast` number, since 3 + 9 + 8 + 46 + 7 + 322 + 265 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3984673222593 and 3984673222602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7921815301 + ... + 7921815803.

Almost surely, 2^{3984673222656} is an apocalyptic number.

3984673222656 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 3984673222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858532679040).

3984673222656 is an abundant number, since it is smaller than the sum of its proper divisors (9732392135424).

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

3984673222656 is an frugal number, since it uses more digits than its factorization.

3984673222656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 894 counting only the distinct ones).

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

The spelling of 3984673222656 in words is "three trillion, nine hundred eighty-four billion, six hundred seventy-three million, two hundred twenty-two thousand, six hundred fifty-six".