3513204640 has 96 divisors (see below), whose sum is σ = 9225570816. Its totient is φ = 1253391360.

The previous prime is 3513204599. The next prime is 3513204641. The reversal of 3513204640 is 464023153.

It is a junction number, because it is equal to n+sod(n) for n = 3513204599 and 3513204608.

It is not an unprimeable number, because it can be changed into a prime (3513204641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74449 + ... + 112111.

It is an arithmetic number, because the mean of its divisors is an integer number (96099696).

Almost surely, 2^3513204640 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 3513204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612785408).

3513204640 is an abundant number, since it is smaller than the sum of its proper divisors (5712366176).

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

3513204640 is a wasteful number, since it uses less digits than its factorization.

3513204640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37742 (or 37734 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 3513204640 is about 59272.2923464244. The cubic root of 3513204640 is about 1520.2014737555.

Adding to 3513204640 its reverse (464023153), we get a palindrome (3977227793).

The spelling of 3513204640 in words is "three billion, five hundred thirteen million, two hundred four thousand, six hundred forty".