3386770882560 has 384 divisors, whose sum is σ = 12643823261160. Its totient is φ = 833661960192.

The previous prime is 3386770882529. The next prime is 3386770882619. The reversal of 3386770882560 is 652880776833.

It is a happy number.

3386770882560 is a `hidden beast` number, since 3 + 3 + 8 + 67 + 7 + 0 + 8 + 8 + 2 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2398384963584 + 988385918976 = 1548672^2 + 994176^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3386770882560² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19080942 + ... + 19257618.

Almost surely, 2^{3386770882560} is an apocalyptic number.

3386770882560 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 3386770882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6321911630580).

3386770882560 is an abundant number, since it is smaller than the sum of its proper divisors (9257052378600).

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

3386770882560 is a wasteful number, since it uses less digits than its factorization.

3386770882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176731 (or 176700 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 3386770882560 in words is "three trillion, three hundred eighty-six billion, seven hundred seventy million, eight hundred eighty-two thousand, five hundred sixty".