3209963632512 has 576 divisors, whose sum is σ = 11086994741760. Its totient is φ = 819249500160.

The previous prime is 3209963632507. The next prime is 3209963632609. The reversal of 3209963632512 is 2152363699023.

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, 98560743 + ... + 98593305.

It is an arithmetic number, because the mean of its divisors is an integer number (19248254760).

Almost surely, 2^{3209963632512} is an apocalyptic number.

3209963632512 is a gapful number since it is divisible by the number (32) 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 3209963632512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5543497370880).

3209963632512 is an abundant number, since it is smaller than the sum of its proper divisors (7877031109248).

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

3209963632512 is a wasteful number, since it uses less digits than its factorization.

3209963632512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32651 (or 32619 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 51.

The spelling of 3209963632512 in words is "three trillion, two hundred nine billion, nine hundred sixty-three million, six hundred thirty-two thousand, five hundred twelve".