3289671288540 has 288 divisors, whose sum is σ = 12290242124160. Its totient is φ = 693587017728.

The previous prime is 3289671288521. The next prime is 3289671288551. The reversal of 3289671288540 is 458821769823.

3289671288540 is a `hidden beast` number, since 3 + 2 + 8 + 9 + 6 + 7 + 1 + 2 + 88 + 540 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23008152 + ... + 23150688.

It is an arithmetic number, because the mean of its divisors is an integer number (42674451820).

It is a 1-persistent number, because it is pandigital, but 2⋅3289671288540 = 6579342577080 is not.

Almost surely, 2^{3289671288540} is an apocalyptic number.

3289671288540 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 3289671288540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6145121062080).

3289671288540 is an abundant number, since it is smaller than the sum of its proper divisors (9000570835620).

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

3289671288540 is a wasteful number, since it uses less digits than its factorization.

3289671288540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143981 (or 143976 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 3289671288540 in words is "three trillion, two hundred eighty-nine billion, six hundred seventy-one million, two hundred eighty-eight thousand, five hundred forty".