3324624240 has 320 divisors, whose sum is σ = 12399206400. Its totient is φ = 720479232.

The previous prime is 3324624209. The next prime is 3324624311. The reversal of 3324624240 is 424264233.

3324624240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3324624240² = 22106252674391155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3324624198 and 3324624207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5370651 + ... + 5371269.

It is an arithmetic number, because the mean of its divisors is an integer number (38747520).

Almost surely, 2^3324624240 is an apocalyptic number.

3324624240 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 3324624240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6199603200).

3324624240 is an abundant number, since it is smaller than the sum of its proper divisors (9074582160).

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

3324624240 is a wasteful number, since it uses less digits than its factorization.

3324624240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 3324624240 is about 57659.5546288731. The cubic root of 3324624240 is about 1492.4994817750.

Adding to 3324624240 its reverse (424264233), we get a palindrome (3748888473).

The spelling of 3324624240 in words is "three billion, three hundred twenty-four million, six hundred twenty-four thousand, two hundred forty".