3369856906080 has 360 divisors, whose sum is σ = 13834468726848. Its totient is φ = 770252861952.

The previous prime is 3369856906037. The next prime is 3369856906081. The reversal of 3369856906080 is 806096589633.

3369856906080 is a `hidden beast` number, since 3 + 3 + 6 + 9 + 8 + 569 + 0 + 60 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3369856906080² (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 a junction number, because it is equal to n+sod(n) for n = 3369856905999 and 3369856906017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3369856906081) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2018224 + ... + 3288303.

Almost surely, 2^{3369856906080} is an apocalyptic number.

3369856906080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3369856906080 is an abundant number, since it is smaller than the sum of its proper divisors (10464611820768).

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

3369856906080 is a wasteful number, since it uses less digits than its factorization.

3369856906080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5306568 (or 5306544 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 3369856906080 in words is "three trillion, three hundred sixty-nine billion, eight hundred fifty-six million, nine hundred six thousand, eighty".