3510641664 has 66 divisors (see below), whose sum is σ = 10136928230. Its totient is φ = 1170210816.

The previous prime is 3510641663. The next prime is 3510641671. The reversal of 3510641664 is 4661460153.

It is a happy number.

3510641664 is a `hidden beast` number, since 3 + 5 + 1 + 0 + 641 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3485721600 + 24920064 = 59040^2 + 4992^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3510641663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 181249 + ... + 199680.

Almost surely, 2^3510641664 is an apocalyptic number.

It is an amenable number.

3510641664 is an abundant number, since it is smaller than the sum of its proper divisors (6626286566).

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

3510641664 is a wasteful number, since it uses less digits than its factorization.

3510641664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380955 (or 380934 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3510641664 is about 59250.6680468668. The cubic root of 3510641664 is about 1519.8317080528.

The spelling of 3510641664 in words is "three billion, five hundred ten million, six hundred forty-one thousand, six hundred sixty-four".