3209945487840 has 1920 divisors, whose sum is σ = 15153226260480. Its totient is φ = 620786073600.

The previous prime is 3209945487773. The next prime is 3209945487851. The reversal of 3209945487840 is 487845499023.

3209945487840 is a `hidden beast` number, since 3 + 2 + 0 + 9 + 9 + 4 + 548 + 7 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 319 ways as a sum of consecutive naturals, for example, 694640730 + ... + 694645350.

It is an arithmetic number, because the mean of its divisors is an integer number (7892305344).

Almost surely, 2^{3209945487840} is an apocalyptic number.

3209945487840 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 3209945487840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7576613130240).

3209945487840 is an abundant number, since it is smaller than the sum of its proper divisors (11943280772640).

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

3209945487840 is a wasteful number, since it uses less digits than its factorization.

3209945487840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 3209945487840 in words is "three trillion, two hundred nine billion, nine hundred forty-five million, four hundred eighty-seven thousand, eight hundred forty".