3200756832 has 432 divisors, whose sum is σ = 11607261120. Its totient is φ = 829108224.

The previous prime is 3200756831. The next prime is 3200756857. The reversal of 3200756832 is 2386570023.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200756831) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 13392169 + ... + 13392407.

It is an arithmetic number, because the mean of its divisors is an integer number (26868660).

Almost surely, 2^3200756832 is an apocalyptic number.

3200756832 is a gapful number since it is divisible by the number (32) 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 3200756832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803630560).

3200756832 is an abundant number, since it is smaller than the sum of its proper divisors (8406504288).

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

3200756832 is a wasteful number, since it uses less digits than its factorization.

3200756832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3200756832 is about 56575.2316124291. The cubic root of 3200756832 is about 1473.7287650038.

The spelling of 3200756832 in words is "three billion, two hundred million, seven hundred fifty-six thousand, eight hundred thirty-two".