3422680310016 has 864 divisors, whose sum is σ = 11816942860800. Its totient is φ = 968519946240.

The previous prime is 3422680310003. The next prime is 3422680310017. The reversal of 3422680310016 is 6100130862243.

3422680310016 is a `hidden beast` number, since 34 + 226 + 80 + 310 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3422680310017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1729498915 + ... + 1729500893.

It is an arithmetic number, because the mean of its divisors is an integer number (13677017200).

Almost surely, 2^{3422680310016} is an apocalyptic number.

3422680310016 is a gapful number since it is divisible by the number (36) 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 3422680310016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5908471430400).

3422680310016 is an abundant number, since it is smaller than the sum of its proper divisors (8394262550784).

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

3422680310016 is a wasteful number, since it uses less digits than its factorization.

3422680310016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3422680310016 in words is "three trillion, four hundred twenty-two billion, six hundred eighty million, three hundred ten thousand, sixteen".