3200556412350 has 288 divisors, whose sum is σ = 9481240304640. Its totient is φ = 767576160000.

The previous prime is 3200556412271. The next prime is 3200556412357. The reversal of 3200556412350 is 532146550023.

3200556412350 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 5 + 5 + 641 + 2 + 3 + 5 + 0 = 666.

3200556412350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3200556412350² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200556412357) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 939404347 + ... + 939407753.

It is an arithmetic number, because the mean of its divisors is an integer number (32920973280).

Almost surely, 2^{3200556412350} is an apocalyptic number.

3200556412350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3200556412350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740620152320).

3200556412350 is an abundant number, since it is smaller than the sum of its proper divisors (6280683892290).

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

3200556412350 is a wasteful number, since it uses less digits than its factorization.

3200556412350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5416 (or 5408 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 3200556412350 in words is "three trillion, two hundred billion, five hundred fifty-six million, four hundred twelve thousand, three hundred fifty".