3289901113800 has 768 divisors, whose sum is σ = 13647983616000. Its totient is φ = 711582382080.

The previous prime is 3289901113787. The next prime is 3289901113801. The reversal of 3289901113800 is 83111099823.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3289901113801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 792172524 + ... + 792176676.

It is an arithmetic number, because the mean of its divisors is an integer number (17770812000).

Almost surely, 2^{3289901113800} is an apocalyptic number.

3289901113800 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 3289901113800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6823991808000).

3289901113800 is an abundant number, since it is smaller than the sum of its proper divisors (10358082502200).

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

3289901113800 is a wasteful number, since it uses less digits than its factorization.

3289901113800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5307 (or 5292 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 3289901113800 in words is "three trillion, two hundred eighty-nine billion, nine hundred one million, one hundred thirteen thousand, eight hundred".