3424792320 has 288 divisors, whose sum is σ = 12454827840. Its totient is φ = 890634240.

The previous prime is 3424792309. The next prime is 3424792337. The reversal of 3424792320 is 232974243.

It is a happy number.

3424792320 is a `hidden beast` number, since 3 + 4 + 247 + 92 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1415752 + ... + 1418168.

It is an arithmetic number, because the mean of its divisors is an integer number (43245930).

Almost surely, 2^3424792320 is an apocalyptic number.

3424792320 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 3424792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227413920).

3424792320 is an abundant number, since it is smaller than the sum of its proper divisors (9030035520).

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

3424792320 is a wasteful number, since it uses less digits than its factorization.

3424792320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3424792320 is about 58521.7251967165. The cubic root of 3424792320 is about 1507.3406578940.

The spelling of 3424792320 in words is "three billion, four hundred twenty-four million, seven hundred ninety-two thousand, three hundred twenty".