3413645461100 has 54 divisors (see below), whose sum is σ = 8617016483460. Its totient is φ = 1170392727840.

The previous prime is 3413645461097. The next prime is 3413645461123. The reversal of 3413645461100 is 11645463143.

It is a super-2 number, since 2×3413645461100² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 348326270 + ... + 348336069.

Almost surely, 2^{3413645461100} is an apocalyptic number.

It is an amenable number.

3413645461100 is an abundant number, since it is smaller than the sum of its proper divisors (5203371022360).

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

3413645461100 is a wasteful number, since it uses less digits than its factorization.

3413645461100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696662367 (or 696662353 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 3413645461100 in words is "three trillion, four hundred thirteen billion, six hundred forty-five million, four hundred sixty-one thousand, one hundred".