3406111948800 has 2520 divisors, whose sum is σ = 14868391143312. Its totient is φ = 764411904000.

The previous prime is 3406111948769. The next prime is 3406111948871. The reversal of 3406111948800 is 88491116043.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 55837900770 + ... + 55837900830.

Almost surely, 2^{3406111948800} is an apocalyptic number.

3406111948800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3406111948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7434195571656).

3406111948800 is an abundant number, since it is smaller than the sum of its proper divisors (11462279194512).

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

3406111948800 is an equidigital number, since it uses as much as digits as its factorization.

3406111948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 3406111948800 in words is "three trillion, four hundred six billion, one hundred eleven million, nine hundred forty-eight thousand, eight hundred".