3280714128000 has 1152 divisors, whose sum is σ = 12924495267840. Its totient is φ = 796520448000.

The previous prime is 3280714127941. The next prime is 3280714128019. The reversal of 3280714128000 is 8214170823.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1290094729 + ... + 1290097271.

It is an arithmetic number, because the mean of its divisors is an integer number (11219179920).

Almost surely, 2^{3280714128000} is an apocalyptic number.

3280714128000 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 3280714128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6462247633920).

3280714128000 is an abundant number, since it is smaller than the sum of its proper divisors (9643781139840).

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

3280714128000 is a wasteful number, since it uses less digits than its factorization.

3280714128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 3280714128000 its reverse (8214170823), we get a palindrome (3288928298823).

The spelling of 3280714128000 in words is "three trillion, two hundred eighty billion, seven hundred fourteen million, one hundred twenty-eight thousand".