3624143105044 has 192 divisors, whose sum is σ = 8465847280128. Its totient is φ = 1314127872000.

The previous prime is 3624143105017. The next prime is 3624143105053. The reversal of 3624143105044 is 4405013414263.

3624143105044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3624143104994 and 3624143105012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 813132864 + ... + 813137320.

It is an arithmetic number, because the mean of its divisors is an integer number (44092954584).

Almost surely, 2^{3624143105044} is an apocalyptic number.

3624143105044 is a gapful number since it is divisible by the number (34) 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 3624143105044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4232923640064).

3624143105044 is an abundant number, since it is smaller than the sum of its proper divisors (4841704175084).

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

3624143105044 is a wasteful number, since it uses less digits than its factorization.

3624143105044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6194 (or 6192 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 3624143105044 in words is "three trillion, six hundred twenty-four billion, one hundred forty-three million, one hundred five thousand, forty-four".