3205301410080 has 2304 divisors, whose sum is σ = 14897890344960. Its totient is φ = 624817152000.

The previous prime is 3205301410057. The next prime is 3205301410133. The reversal of 3205301410080 is 800141035023.

It is a happy number.

3205301410080 is a `hidden beast` number, since 3 + 20 + 530 + 1 + 4 + 100 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11827680345 + ... + 11827680615.

It is an arithmetic number, because the mean of its divisors is an integer number (6466098240).

Almost surely, 2^{3205301410080} is an apocalyptic number.

3205301410080 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 3205301410080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7448945172480).

3205301410080 is an abundant number, since it is smaller than the sum of its proper divisors (11692588934880).

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

3205301410080 is a wasteful number, since it uses less digits than its factorization.

3205301410080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 3205301410080 in words is "three trillion, two hundred five billion, three hundred one million, four hundred ten thousand, eighty".