3204285713280 has 768 divisors, whose sum is σ = 11830424336640. Its totient is φ = 828252241920.

The previous prime is 3204285713269. The next prime is 3204285713297. The reversal of 3204285713280 is 823175824023.

3204285713280 is a `hidden beast` number, since 3 + 2 + 0 + 42 + 8 + 571 + 32 + 8 + 0 = 666.

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

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, 1039338619 + ... + 1039341701.

It is an arithmetic number, because the mean of its divisors is an integer number (15404198355).

Almost surely, 2^{3204285713280} is an apocalyptic number.

3204285713280 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 3204285713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915212168320).

3204285713280 is an abundant number, since it is smaller than the sum of its proper divisors (8626138623360).

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

3204285713280 is a wasteful number, since it uses less digits than its factorization.

3204285713280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 3204285713280 in words is "three trillion, two hundred four billion, two hundred eighty-five million, seven hundred thirteen thousand, two hundred eighty".