3200200032 has 48 divisors (see below), whose sum is σ = 8403620400. Its totient is φ = 1066340352.

The previous prime is 3200200021. The next prime is 3200200057. The reversal of 3200200032 is 2300020023.

3200200032 = T₂₆₆₆₃ + T₂₆₆₆₄ + ... + T₂₆₆₇₁.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3200199990 and 3200200017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 384588 + ... + 392820.

It is an arithmetic number, because the mean of its divisors is an integer number (175075425).

Almost surely, 2^3200200032 is an apocalyptic number.

3200200032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3200200032 is an abundant number, since it is smaller than the sum of its proper divisors (5203420368).

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

3200200032 is a wasteful number, since it uses less digits than its factorization.

3200200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12295 (or 12287 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 3200200032 is about 56570.3105170901. The cubic root of 3200200032 is about 1473.6433039909.

Adding to 3200200032 its reverse (2300020023), we get a palindrome (5500220055).

Subtracting from 3200200032 its reverse (2300020023), we obtain a square (900180009 = 30003²).

The spelling of 3200200032 in words is "three billion, two hundred million, two hundred thousand, thirty-two".