3384576873216 has 1728 divisors, whose sum is σ = 13754580295680. Its totient is φ = 799978291200.

The previous prime is 3384576873173. The next prime is 3384576873257. The reversal of 3384576873216 is 6123786754833.

3384576873216 is a `hidden beast` number, since 3 + 38 + 4 + 576 + 8 + 7 + 3 + 21 + 6 = 666.

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

It is a super-2 number, since 2×3384576873216² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3085301980 + ... + 3085303076.

It is an arithmetic number, because the mean of its divisors is an integer number (7959826560).

Almost surely, 2^{3384576873216} is an apocalyptic number.

3384576873216 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 3384576873216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6877290147840).

3384576873216 is an abundant number, since it is smaller than the sum of its proper divisors (10370003422464).

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

3384576873216 is a wasteful number, since it uses less digits than its factorization.

3384576873216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1168 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 3384576873216 in words is "three trillion, three hundred eighty-four billion, five hundred seventy-six million, eight hundred seventy-three thousand, two hundred sixteen".