3416508700128 has 192 divisors, whose sum is σ = 10311892012800. Its totient is φ = 1099196904960.

The previous prime is 3416508700127. The next prime is 3416508700141. The reversal of 3416508700128 is 8210078056143.

3416508700128 is a `hidden beast` number, since 3 + 4 + 16 + 508 + 7 + 0 + 0 + 128 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3416508700127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80233083 + ... + 80275653.

It is an arithmetic number, because the mean of its divisors is an integer number (53707770900).

Almost surely, 2^{3416508700128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3416508700128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155946006400).

3416508700128 is an abundant number, since it is smaller than the sum of its proper divisors (6895383312672).

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

3416508700128 is a wasteful number, since it uses less digits than its factorization.

3416508700128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45822 (or 45808 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 3416508700128 in words is "three trillion, four hundred sixteen billion, five hundred eight million, seven hundred thousand, one hundred twenty-eight".