3773829126144 has 1152 divisors, whose sum is σ = 13217637888000. Its totient is φ = 936227635200.

The previous prime is 3773829126143. The next prime is 3773829126163. The reversal of 3773829126144 is 4416219283773.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3773829126143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24037128114 + ... + 24037128270.

It is an arithmetic number, because the mean of its divisors is an integer number (11473644000).

Almost surely, 2^{3773829126144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3773829126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6608818944000).

3773829126144 is an abundant number, since it is smaller than the sum of its proper divisors (9443808761856).

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

3773829126144 is a wasteful number, since it uses less digits than its factorization.

3773829126144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 360 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 57.

The spelling of 3773829126144 in words is "three trillion, seven hundred seventy-three billion, eight hundred twenty-nine million, one hundred twenty-six thousand, one hundred forty-four".