3506641604460 has 60 divisors (see below), whose sum is σ = 11000464593888. Its totient is φ = 935104427424.

The previous prime is 3506641604447. The next prime is 3506641604467. The reversal of 3506641604460 is 644061466053.

3506641604460 is a `hidden beast` number, since 3 + 50 + 66 + 41 + 60 + 446 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3506641604467) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1082295172 + ... + 1082298411.

Almost surely, 2^{3506641604460} is an apocalyptic number.

3506641604460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3506641604460 is an abundant number, since it is smaller than the sum of its proper divisors (7493822989428).

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

3506641604460 is a wasteful number, since it uses less digits than its factorization.

3506641604460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164593604 (or 2164593593 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 3506641604460 in words is "three trillion, five hundred six billion, six hundred forty-one million, six hundred four thousand, four hundred sixty".