3209958935008 has 96 divisors (see below), whose sum is σ = 7648451987904. Its totient is φ = 1294570708992.

The previous prime is 3209958934979. The next prime is 3209958935009. The reversal of 3209958935008 is 8005398599023.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3209958935009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25576666 + ... + 25701862.

It is an arithmetic number, because the mean of its divisors is an integer number (79671374874).

Almost surely, 2^{3209958935008} 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 3209958935008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824225993952).

3209958935008 is an abundant number, since it is smaller than the sum of its proper divisors (4438493052896).

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

3209958935008 is a wasteful number, since it uses less digits than its factorization.

3209958935008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131964 (or 131956 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 61.

The spelling of 3209958935008 in words is "three trillion, two hundred nine billion, nine hundred fifty-eight million, nine hundred thirty-five thousand, eight".