3413324640 has 192 divisors, whose sum is σ = 11929317120. Its totient is φ = 813373440.

The previous prime is 3413324573. The next prime is 3413324641. The reversal of 3413324640 is 464233143.

3413324640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3413324640² = 23301570196062259200, 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 = 3413324598 and 3413324607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413324641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306042 + ... + 316998.

It is an arithmetic number, because the mean of its divisors is an integer number (62131860).

Almost surely, 2^3413324640 is an apocalyptic number.

3413324640 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 3413324640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5964658560).

3413324640 is an abundant number, since it is smaller than the sum of its proper divisors (8515992480).

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

3413324640 is a wasteful number, since it uses less digits than its factorization.

3413324640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11045 (or 11037 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 3413324640 is about 58423.6650681896. The cubic root of 3413324640 is about 1505.6563679680.

Adding to 3413324640 its reverse (464233143), we get a palindrome (3877557783).

The spelling of 3413324640 in words is "three billion, four hundred thirteen million, three hundred twenty-four thousand, six hundred forty".