3219330240 has 672 divisors, whose sum is σ = 13557113856. Its totient is φ = 685301760.

The previous prime is 3219330229. The next prime is 3219330251. The reversal of 3219330240 is 420339123.

It is a happy number.

3219330240 is a `hidden beast` number, since 321 + 9 + 330 + 2 + 4 + 0 = 666.

3219330240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3219330229) and next prime (3219330251).

It is a tau number, because it is divible by the number of its divisors (672).

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, 24574975 + ... + 24575105.

Almost surely, 2^3219330240 is an apocalyptic number.

3219330240 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 3219330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6778556928).

3219330240 is an abundant number, since it is smaller than the sum of its proper divisors (10337783616).

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

3219330240 is a wasteful number, since it uses less digits than its factorization.

3219330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3219330240 is about 56739.1420449763. The cubic root of 3219330240 is about 1476.5738619467.

Adding to 3219330240 its reverse (420339123), we get a palindrome (3639669363).

The spelling of 3219330240 in words is "three billion, two hundred nineteen million, three hundred thirty thousand, two hundred forty".