3289867858480 has 160 divisors (see below), whose sum is σ = 9223098255360. Its totient is φ = 1066107847680.

The previous prime is 3289867858439. The next prime is 3289867858481. The reversal of 3289867858480 is 848587689823.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a junction number, because it is equal to n+sod(n) for n = 3289867858397 and 3289867858406.

It is not an unprimeable number, because it can be changed into a prime (3289867858481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4227142 + ... + 4944538.

It is an arithmetic number, because the mean of its divisors is an integer number (57644364096).

Almost surely, 2^{3289867858480} 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 3289867858480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611549127680).

3289867858480 is an abundant number, since it is smaller than the sum of its proper divisors (5933230396880).

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

3289867858480 is a wasteful number, since it uses less digits than its factorization.

3289867858480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717867 (or 717861 counting only the distinct ones).

The product of its (nonzero) digits is 1486356480, while the sum is 76.

The spelling of 3289867858480 in words is "three trillion, two hundred eighty-nine billion, eight hundred sixty-seven million, eight hundred fifty-eight thousand, four hundred eighty".