3742145361920 has 384 divisors, whose sum is σ = 10878591185280. Its totient is φ = 1206072115200.

The previous prime is 3742145361919. The next prime is 3742145361923. The reversal of 3742145361920 is 291635412473.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3742145361923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1463489282 + ... + 1463491838.

It is an arithmetic number, because the mean of its divisors is an integer number (28329664545).

Almost surely, 2^{3742145361920} 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 3742145361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439295592640).

3742145361920 is an abundant number, since it is smaller than the sum of its proper divisors (7136445823360).

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

3742145361920 is a wasteful number, since it uses less digits than its factorization.

3742145361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3809 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 3742145361920 in words is "three trillion, seven hundred forty-two billion, one hundred forty-five million, three hundred sixty-one thousand, nine hundred twenty".