3400544112000 has 1024 divisors, whose sum is σ = 13549997260800. Its totient is φ = 737577984000.

The previous prime is 3400544111963. The next prime is 3400544112029. The reversal of 3400544112000 is 2114450043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1012366321 + ... + 1012369679.

It is an arithmetic number, because the mean of its divisors is an integer number (13232419200).

Almost surely, 2^{3400544112000} is an apocalyptic number.

3400544112000 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 3400544112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6774998630400).

3400544112000 is an abundant number, since it is smaller than the sum of its proper divisors (10149453148800).

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

3400544112000 is a wasteful number, since it uses less digits than its factorization.

3400544112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 3400544112000 its reverse (2114450043), we get a palindrome (3402658562043).

The spelling of 3400544112000 in words is "three trillion, four hundred billion, five hundred forty-four million, one hundred twelve thousand".