3361708656000 has 1536 divisors, whose sum is σ = 13377013453440. Its totient is φ = 836075520000.

The previous prime is 3361708655957. The next prime is 3361708656023. The reversal of 3361708656000 is 6568071633.

3361708656000 is a `hidden beast` number, since 3 + 3 + 6 + 1 + 7 + 0 + 86 + 560 + 0 + 0 = 666.

It is a super-2 number, since 2×3361708656000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 11963375860 + ... + 11963376140.

Almost surely, 2^{3361708656000} is an apocalyptic number.

3361708656000 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 3361708656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6688506726720).

3361708656000 is an abundant number, since it is smaller than the sum of its proper divisors (10015304797440).

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

3361708656000 is a wasteful number, since it uses less digits than its factorization.

3361708656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 3361708656000 in words is "three trillion, three hundred sixty-one billion, seven hundred eight million, six hundred fifty-six thousand".