3244432320 has 560 divisors, whose sum is σ = 12613233600. Its totient is φ = 788299776.

The previous prime is 3244432319. The next prime is 3244432339. The reversal of 3244432320 is 232344423.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16303581 + ... + 16303779.

Almost surely, 2^3244432320 is an apocalyptic number.

3244432320 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 3244432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6306616800).

3244432320 is an abundant number, since it is smaller than the sum of its proper divisors (9368801280).

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

3244432320 is a wasteful number, since it uses less digits than its factorization.

3244432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3244432320 is about 56959.9185392676. The cubic root of 3244432320 is about 1480.4016927669.

Adding to 3244432320 its reverse (232344423), we get a palindrome (3476776743).

The spelling of 3244432320 in words is "three billion, two hundred forty-four million, four hundred thirty-two thousand, three hundred twenty".