3364085716992 has 1344 divisors, whose sum is σ = 13546956084480. Its totient is φ = 806215680000.

The previous prime is 3364085716987. The next prime is 3364085717021. The reversal of 3364085716992 is 2996175804633.

3364085716992 is a `hidden beast` number, since 3 + 36 + 408 + 57 + 1 + 69 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×3364085716992² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1494483867 + ... + 1494486117.

It is an arithmetic number, because the mean of its divisors is an integer number (10079580420).

It is a 1-persistent number, because it is pandigital, but 2⋅3364085716992 = 6728171433984 is not.

Almost surely, 2^{3364085716992} is an apocalyptic number.

3364085716992 is a gapful number since it is divisible by the number (32) 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 3364085716992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773478042240).

3364085716992 is an abundant number, since it is smaller than the sum of its proper divisors (10182870367488).

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

3364085716992 is a wasteful number, since it uses less digits than its factorization.

3364085716992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 3364085716992 in words is "three trillion, three hundred sixty-four billion, eighty-five million, seven hundred sixteen thousand, nine hundred ninety-two".