3289965181440 has 480 divisors, whose sum is σ = 12243485098944. Its totient is φ = 751456419840.

The previous prime is 3289965181411. The next prime is 3289965181471. The reversal of 3289965181440 is 441815699823.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (60).

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 47 ways as a sum of consecutive naturals, for example, 804193795 + ... + 804197885.

Almost surely, 2^{3289965181440} is an apocalyptic number.

3289965181440 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 3289965181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6121742549472).

3289965181440 is an abundant number, since it is smaller than the sum of its proper divisors (8953519917504).

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

3289965181440 is a wasteful number, since it uses less digits than its factorization.

3289965181440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6268 (or 6245 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 3289965181440 in words is "three trillion, two hundred eighty-nine billion, nine hundred sixty-five million, one hundred eighty-one thousand, four hundred forty".