3343775359680 has 1680 divisors, whose sum is σ = 14250599497728. Its totient is φ = 728953344000.

The previous prime is 3343775359663. The next prime is 3343775359699. The reversal of 3343775359680 is 869535773433.

3343775359680 is a `hidden beast` number, since 3 + 3 + 4 + 3 + 7 + 7 + 535 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×3343775359680² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 22144207605 + ... + 22144207755.

Almost surely, 2^{3343775359680} is an apocalyptic number.

3343775359680 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 3343775359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7125299748864).

3343775359680 is an abundant number, since it is smaller than the sum of its proper divisors (10906824138048).

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

3343775359680 is a wasteful number, since it uses less digits than its factorization.

3343775359680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 63.

The spelling of 3343775359680 in words is "three trillion, three hundred forty-three billion, seven hundred seventy-five million, three hundred fifty-nine thousand, six hundred eighty".