3364793758080 has 1280 divisors, whose sum is σ = 13110876979200. Its totient is φ = 819437617152.

The previous prime is 3364793758063. The next prime is 3364793758111. The reversal of 3364793758080 is 808573974633.

3364793758080 is a `hidden beast` number, since 3 + 3 + 6 + 47 + 9 + 3 + 7 + 580 + 8 + 0 = 666.

It is a super-2 number, since 2×3364793758080² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3364793757999 and 3364793758017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4628326677 + ... + 4628327403.

It is an arithmetic number, because the mean of its divisors is an integer number (10242872640).

Almost surely, 2^{3364793758080} is an apocalyptic number.

3364793758080 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 3364793758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6555438489600).

3364793758080 is an abundant number, since it is smaller than the sum of its proper divisors (9746083221120).

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

3364793758080 is a wasteful number, since it uses less digits than its factorization.

3364793758080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 3364793758080 in words is "three trillion, three hundred sixty-four billion, seven hundred ninety-three million, seven hundred fifty-eight thousand, eighty".