3229793280 has 1056 divisors, whose sum is σ = 14714818560. Its totient is φ = 637009920.

The previous prime is 3229793269. The next prime is 3229793309. The reversal of 3229793280 is 823979223.

3229793280 is a `hidden beast` number, since 32 + 297 + 9 + 328 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104186865 + ... + 104186895.

Almost surely, 2^3229793280 is an apocalyptic number.

3229793280 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 3229793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7357409280).

3229793280 is an abundant number, since it is smaller than the sum of its proper divisors (11485025280).

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

3229793280 is a wasteful number, since it uses less digits than its factorization.

3229793280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3229793280 is about 56831.2702655853. The cubic root of 3229793280 is about 1478.1717868910.

The spelling of 3229793280 in words is "three billion, two hundred twenty-nine million, seven hundred ninety-three thousand, two hundred eighty".