3209675101920 has 1152 divisors, whose sum is σ = 13405530378240. Its totient is φ = 682653450240.

The previous prime is 3209675101889. The next prime is 3209675101921. The reversal of 3209675101920 is 291015769023.

It is a happy number.

3209675101920 is a `hidden beast` number, since 3 + 20 + 96 + 7 + 510 + 1 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3209675101921) 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 191 ways as a sum of consecutive naturals, for example, 10320498565 + ... + 10320498875.

It is an arithmetic number, because the mean of its divisors is an integer number (11636745120).

Almost surely, 2^{3209675101920} is an apocalyptic number.

3209675101920 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 3209675101920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702765189120).

3209675101920 is an abundant number, since it is smaller than the sum of its proper divisors (10195855276320).

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

3209675101920 is a wasteful number, since it uses less digits than its factorization.

3209675101920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 3209675101920 in words is "three trillion, two hundred nine billion, six hundred seventy-five million, one hundred one thousand, nine hundred twenty".