3384120487680 has 1296 divisors, whose sum is σ = 13332732495264. Its totient is φ = 818982420480.

The previous prime is 3384120487673. The next prime is 3384120487687. The reversal of 3384120487680 is 867840214833.

3384120487680 is a `hidden beast` number, since 3 + 3 + 84 + 1 + 2 + 0 + 487 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3384120487673) and next prime (3384120487687).

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×3384120487680² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384120487687) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4446938500 + ... + 4446939260.

It is an arithmetic number, because the mean of its divisors is an integer number (10287602234).

Almost surely, 2^{3384120487680} is an apocalyptic number.

3384120487680 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 3384120487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6666366247632).

3384120487680 is an abundant number, since it is smaller than the sum of its proper divisors (9948612007584).

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

3384120487680 is an equidigital number, since it uses as much as digits as its factorization.

3384120487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 3384120487680 in words is "three trillion, three hundred eighty-four billion, one hundred twenty million, four hundred eighty-seven thousand, six hundred eighty".