3504335664 has 40 divisors (see below), whose sum is σ = 9585390960. Its totient is φ = 1099399168.

The previous prime is 3504335663. The next prime is 3504335677. The reversal of 3504335664 is 4665334053.

3504335664 is a modest number, since divided by 335664 gives 3504 as remainder.

It is not an unprimeable number, because it can be changed into a prime (3504335663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2146449 + ... + 2148080.

It is an arithmetic number, because the mean of its divisors is an integer number (239634774).

Almost surely, 2^3504335664 is an apocalyptic number.

3504335664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3504335664 is an abundant number, since it is smaller than the sum of its proper divisors (6081055296).

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

3504335664 is a wasteful number, since it uses less digits than its factorization.

3504335664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294557 (or 4294551 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 39.

The square root of 3504335664 is about 59197.4295387899. The cubic root of 3504335664 is about 1518.9211619792.

It can be divided in two parts, 35043 and 35664, that added together give a palindrome (70707).

The spelling of 3504335664 in words is "three billion, five hundred four million, three hundred thirty-five thousand, six hundred sixty-four".