3334246784064 has 315 divisors, whose sum is σ = 11500600118007. Its totient is φ = 952378995456.

The previous prime is 3334246784059. The next prime is 3334246784137. The reversal of 3334246784064 is 4604876424333.

It is a happy number.

The square root of 3334246784064 is 1825992.

It is a perfect power (a square), and thus also a powerful number.

3334246784064 is a `hidden beast` number, since 3 + 3 + 3 + 42 + 467 + 84 + 0 + 64 = 666.

It is a super-2 number, since 2×3334246784064² (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 self number, because there is not a number n which added to its sum of digits gives 3334246784064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 920298157 + ... + 920301779.

Almost surely, 2^{3334246784064} is an apocalyptic number.

3334246784064 is the 1825992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3334246784064

3334246784064 is an abundant number, since it is smaller than the sum of its proper divisors (8166353333943).

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

3334246784064 is an frugal number, since it uses more digits than its factorization.

3334246784064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7284 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 54.

The spelling of 3334246784064 in words is "three trillion, three hundred thirty-four billion, two hundred forty-six million, seven hundred eighty-four thousand, sixty-four".