3201850080 has 768 divisors, whose sum is σ = 13533972480. Its totient is φ = 696729600.

The previous prime is 3201850073. The next prime is 3201850103. The reversal of 3201850080 is 800581023.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43860924 + ... + 43860996.

It is an arithmetic number, because the mean of its divisors is an integer number (17622360).

Almost surely, 2^3201850080 is an apocalyptic number.

3201850080 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 3201850080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6766986240).

3201850080 is an abundant number, since it is smaller than the sum of its proper divisors (10332122400).

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

3201850080 is a wasteful number, since it uses less digits than its factorization.

3201850080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 3201850080 is about 56584.8926834716. The cubic root of 3201850080 is about 1473.8965344523.

The spelling of 3201850080 in words is "three billion, two hundred one million, eight hundred fifty thousand, eighty".