3280099938720 has 384 divisors, whose sum is σ = 11869711902720. Its totient is φ = 753016320000.

The previous prime is 3280099938691. The next prime is 3280099938721. The reversal of 3280099938720 is 278399900823.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (3280099938721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 323125645 + ... + 323135795.

It is an arithmetic number, because the mean of its divisors is an integer number (30910708080).

Almost surely, 2^{3280099938720} is an apocalyptic number.

3280099938720 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 3280099938720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5934855951360).

3280099938720 is an abundant number, since it is smaller than the sum of its proper divisors (8589611964000).

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

3280099938720 is a wasteful number, since it uses less digits than its factorization.

3280099938720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13420 (or 13412 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 3280099938720 in words is "three trillion, two hundred eighty billion, ninety-nine million, nine hundred thirty-eight thousand, seven hundred twenty".