3367484688960 has 336 divisors, whose sum is σ = 13257933002496. Its totient is φ = 768518148096.

The previous prime is 3367484688901. The next prime is 3367484688979. The reversal of 3367484688960 is 698864847633.

3367484688960 is a `hidden beast` number, since 3 + 3 + 6 + 7 + 484 + 6 + 8 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3367484688960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12914434 + ... + 13172606.

It is an arithmetic number, because the mean of its divisors is an integer number (39458133936).

Almost surely, 2^{3367484688960} is an apocalyptic number.

3367484688960 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 3367484688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6628966501248).

3367484688960 is an abundant number, since it is smaller than the sum of its proper divisors (9890448313536).

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

3367484688960 is a wasteful number, since it uses less digits than its factorization.

3367484688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258850 (or 258837 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 72.

The spelling of 3367484688960 in words is "three trillion, three hundred sixty-seven billion, four hundred eighty-four million, six hundred eighty-eight thousand, nine hundred sixty".