3243997440 has 216 divisors, whose sum is σ = 11268653760. Its totient is φ = 861622272.

The previous prime is 3243997423. The next prime is 3243997451. The reversal of 3243997440 is 447993423.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 4365709 + ... + 4366451.

Almost surely, 2^3243997440 is an apocalyptic number.

3243997440 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 3243997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634326880).

3243997440 is an abundant number, since it is smaller than the sum of its proper divisors (8024656320).

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

3243997440 is a wasteful number, since it uses less digits than its factorization.

3243997440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3243997440 is about 56956.1009901485. The cubic root of 3243997440 is about 1480.3355460278.

The spelling of 3243997440 in words is "three billion, two hundred forty-three million, nine hundred ninety-seven thousand, four hundred forty".