3203940096 has 180 divisors, whose sum is σ = 10918859952. Its totient is φ = 915369984.

The previous prime is 3203940059. The next prime is 3203940119. The reversal of 3203940096 is 6900493023.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3203940096.

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 19 ways as a sum of consecutive naturals, for example, 134116 + ... + 156188.

Almost surely, 2^3203940096 is an apocalyptic number.

3203940096 is a gapful number since it is divisible by the number (36) 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 3203940096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459429976).

3203940096 is an abundant number, since it is smaller than the sum of its proper divisors (7714919856).

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

3203940096 is an equidigital number, since it uses as much as digits as its factorization.

3203940096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22108 (or 22085 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3203940096 is about 56603.3576389246. The cubic root of 3203940096 is about 1474.2171613029.

The spelling of 3203940096 in words is "three billion, two hundred three million, nine hundred forty thousand, ninety-six".