3249720000 has 700 divisors, whose sum is σ = 12961757160. Its totient is φ = 801792000.

The previous prime is 3249719989. The next prime is 3249720011. The reversal of 3249720000 is 279423.

It is an interprime number because it is at equal distance from previous prime (3249719989) and next prime (3249720011).

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 (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 55079971 + ... + 55080029.

Almost surely, 2^3249720000 is an apocalyptic number.

3249720000 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 3249720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480878580).

3249720000 is an abundant number, since it is smaller than the sum of its proper divisors (9712037160).

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

3249720000 is an equidigital number, since it uses as much as digits as its factorization.

3249720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3249720000 is about 57006.3154396072. The cubic root of 3249720000 is about 1481.2054945769.

Adding to 3249720000 its reverse (279423), we get a palindrome (3249999423).

The spelling of 3249720000 in words is "three billion, two hundred forty-nine million, seven hundred twenty thousand".