3513422304 has 216 divisors, whose sum is σ = 12054297528. Its totient is φ = 1003726080.

The previous prime is 3513422303. The next prime is 3513422321. The reversal of 3513422304 is 4032243153.

3513422304 is a `hidden beast` number, since 351 + 3 + 4 + 2 + 2 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3513422303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 376414 + ... + 385634.

It is an arithmetic number, because the mean of its divisors is an integer number (55806933).

Almost surely, 2^3513422304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3513422304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6027148764).

3513422304 is an abundant number, since it is smaller than the sum of its proper divisors (8540875224).

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

3513422304 is an equidigital number, since it uses as much as digits as its factorization.

3513422304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9260 (or 9233 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3513422304 is about 59274.1284541578. The cubic root of 3513422304 is about 1520.2328682926.

Adding to 3513422304 its reverse (4032243153), we get a palindrome (7545665457).

The spelling of 3513422304 in words is "three billion, five hundred thirteen million, four hundred twenty-two thousand, three hundred four".