3235728969984 has 288 divisors, whose sum is σ = 10388825896960. Its totient is φ = 875826432000.

The previous prime is 3235728969971. The next prime is 3235728969997. The reversal of 3235728969984 is 4899698275323.

It is an interprime number because it is at equal distance from previous prime (3235728969971) and next prime (3235728969997).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36830109 + ... + 36917859.

Almost surely, 2^{3235728969984} 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 3235728969984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194412948480).

3235728969984 is an abundant number, since it is smaller than the sum of its proper divisors (7153096926976).

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

3235728969984 is an frugal number, since it uses more digits than its factorization.

3235728969984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87834 (or 87782 counting only the distinct ones).

The product of its digits is 1410877440, while the sum is 75.

The spelling of 3235728969984 in words is "three trillion, two hundred thirty-five billion, seven hundred twenty-eight million, nine hundred sixty-nine thousand, nine hundred eighty-four".