3208464242100 has 216 divisors, whose sum is σ = 10833678917880. Its totient is φ = 789533015040.

The previous prime is 3208464241963. The next prime is 3208464242129. The reversal of 3208464242100 is 12424648023.

3208464242100 is a `hidden beast` number, since 3 + 2 + 0 + 8 + 4 + 642 + 4 + 2 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1186260792336 + 2022203449764 = 1089156^2 + 1422042^2 .

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 39610842 + ... + 39691758.

Almost surely, 2^{3208464242100} is an apocalyptic number.

3208464242100 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 3208464242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416839458940).

3208464242100 is an abundant number, since it is smaller than the sum of its proper divisors (7625214675780).

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

3208464242100 is a wasteful number, since it uses less digits than its factorization.

3208464242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84339 (or 84329 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 3208464242100 in words is "three trillion, two hundred eight billion, four hundred sixty-four million, two hundred forty-two thousand, one hundred".