3410891891820 has 144 divisors (see below), whose sum is σ = 12024839473920. Its totient is φ = 766418306688.

The previous prime is 3410891891717. The next prime is 3410891891837. The reversal of 3410891891820 is 281981980143.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22866822 + ... + 23015501.

It is an arithmetic number, because the mean of its divisors is an integer number (83505829680).

Almost surely, 2^{3410891891820} is an apocalyptic number.

3410891891820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3410891891820 is an abundant number, since it is smaller than the sum of its proper divisors (8613947582100).

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

3410891891820 is a wasteful number, since it uses less digits than its factorization.

3410891891820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45882404 (or 45882399 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

It can be divided in two parts, 3410891 and 891820, that added together give a triangular number (4302711 = T₂₉₃₃).

The spelling of 3410891891820 in words is "three trillion, four hundred ten billion, eight hundred ninety-one million, eight hundred ninety-one thousand, eight hundred twenty".