3364550620704 has 672 divisors, whose sum is σ = 12866739338880. Its totient is φ = 840641089536.

The previous prime is 3364550620687. The next prime is 3364550620747. The reversal of 3364550620704 is 4070260554633.

3364550620704 is a `hidden beast` number, since 3 + 3 + 6 + 4 + 550 + 6 + 20 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3364550620704² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3364550620704.

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, 40292404 + ... + 40375820.

It is an arithmetic number, because the mean of its divisors is an integer number (19146933540).

Almost surely, 2^{3364550620704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3364550620704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6433369669440).

3364550620704 is an abundant number, since it is smaller than the sum of its proper divisors (9502188718176).

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

3364550620704 is a wasteful number, since it uses less digits than its factorization.

3364550620704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83484 (or 83461 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 3364550620704 in words is "three trillion, three hundred sixty-four billion, five hundred fifty million, six hundred twenty thousand, seven hundred four".