3243044640 has 192 divisors, whose sum is σ = 11731184640. Its totient is φ = 744791040.

The previous prime is 3243044639. The next prime is 3243044657. The reversal of 3243044640 is 464403423.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3243044598 and 3243044607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84157 + ... + 116483.

It is an arithmetic number, because the mean of its divisors is an integer number (61099920).

Almost surely, 2^3243044640 is an apocalyptic number.

3243044640 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 3243044640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5865592320).

3243044640 is an abundant number, since it is smaller than the sum of its proper divisors (8488140000).

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

3243044640 is a wasteful number, since it uses less digits than its factorization.

3243044640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32375 (or 32367 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 3243044640 is about 56947.7360392843. The cubic root of 3243044640 is about 1480.1906012133.

The spelling of 3243044640 in words is "three billion, two hundred forty-three million, forty-four thousand, six hundred forty".