3224697840 has 720 divisors, whose sum is σ = 13892860800. Its totient is φ = 664215552.

The previous prime is 3224697829. The next prime is 3224697857. The reversal of 3224697840 is 487964223.

3224697840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 36232516 + ... + 36232604.

It is an arithmetic number, because the mean of its divisors is an integer number (19295640).

Almost surely, 2^3224697840 is an apocalyptic number.

3224697840 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 3224697840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6946430400).

3224697840 is an abundant number, since it is smaller than the sum of its proper divisors (10668162960).

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

3224697840 is a wasteful number, since it uses less digits than its factorization.

3224697840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3224697840 is about 56786.4230252267. The cubic root of 3224697840 is about 1477.3940384556.

The spelling of 3224697840 in words is "three billion, two hundred twenty-four million, six hundred ninety-seven thousand, eight hundred forty".