3406162878720 has 432 divisors, whose sum is σ = 13554372948480. Its totient is φ = 773589712896.

The previous prime is 3406162878689. The next prime is 3406162878733. The reversal of 3406162878720 is 278782616043.

3406162878720 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 1 + 628 + 7 + 8 + 7 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12525961 + ... + 12794999.

Almost surely, 2^{3406162878720} is an apocalyptic number.

3406162878720 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 3406162878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6777186474240).

3406162878720 is an abundant number, since it is smaller than the sum of its proper divisors (10148210069760).

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

3406162878720 is a wasteful number, since it uses less digits than its factorization.

3406162878720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269230 (or 269213 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 3406162878720 in words is "three trillion, four hundred six billion, one hundred sixty-two million, eight hundred seventy-eight thousand, seven hundred twenty".