3351687752160 has 576 divisors, whose sum is σ = 12839618727936. Its totient is φ = 789123686400.

The previous prime is 3351687752159. The next prime is 3351687752183. The reversal of 3351687752160 is 612577861533.

3351687752160 is a `hidden beast` number, since 3 + 3 + 51 + 6 + 8 + 7 + 7 + 521 + 60 = 666.

It is a super-2 number, since 2×3351687752160² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3351687752097 and 3351687752106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144813549 + ... + 144836691.

It is an arithmetic number, because the mean of its divisors is an integer number (22291004736).

Almost surely, 2^{3351687752160} is an apocalyptic number.

3351687752160 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 3351687752160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6419809363968).

3351687752160 is an abundant number, since it is smaller than the sum of its proper divisors (9487930975776).

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

3351687752160 is a wasteful number, since it uses less digits than its factorization.

3351687752160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23439 (or 23428 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 3351687752160 in words is "three trillion, three hundred fifty-one billion, six hundred eighty-seven million, seven hundred fifty-two thousand, one hundred sixty".