3416206828680 has 256 divisors, whose sum is σ = 11763409766400. Its totient is φ = 880947809280.

The previous prime is 3416206828651. The next prime is 3416206828691. The reversal of 3416206828680 is 868286026143.

3416206828680 is a `hidden beast` number, since 3 + 4 + 1 + 620 + 6 + 8 + 2 + 8 + 6 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45930882 + ... + 46005198.

It is an arithmetic number, because the mean of its divisors is an integer number (45950819400).

Almost surely, 2^{3416206828680} is an apocalyptic number.

3416206828680 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 3416206828680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881704883200).

3416206828680 is an abundant number, since it is smaller than the sum of its proper divisors (8347202937720).

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

3416206828680 is a wasteful number, since it uses less digits than its factorization.

3416206828680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75741 (or 75731 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 3416206828680 in words is "three trillion, four hundred sixteen billion, two hundred six million, eight hundred twenty-eight thousand, six hundred eighty".