3407718980106 has 128 divisors (see below), whose sum is σ = 8776044748800. Its totient is φ = 960009174720.

The previous prime is 3407718980063. The next prime is 3407718980111. The reversal of 3407718980106 is 6010898177043.

3407718980106 is a `hidden beast` number, since 3 + 407 + 71 + 89 + 80 + 10 + 6 = 666.

It is a super-2 number, since 2×3407718980106² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15862671 + ... + 16076061.

It is an arithmetic number, because the mean of its divisors is an integer number (68562849600).

Almost surely, 2^{3407718980106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3407718980106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388022374400).

3407718980106 is an abundant number, since it is smaller than the sum of its proper divisors (5368325768694).

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

3407718980106 is a wasteful number, since it uses less digits than its factorization.

3407718980106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214001 (or 213995 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 3407718980106 in words is "three trillion, four hundred seven billion, seven hundred eighteen million, nine hundred eighty thousand, one hundred six".