3742530000000 has 768 divisors, whose sum is σ = 13671949374720. Its totient is φ = 906400000000.

The previous prime is 3742529999861. The next prime is 3742530000049. The reversal of 3742530000000 is 352473.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3629999485 + ... + 3630000515.

It is an arithmetic number, because the mean of its divisors is an integer number (17802017415).

Almost surely, 2^{3742530000000} is an apocalyptic number.

3742530000000 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 3742530000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6835974687360).

3742530000000 is an abundant number, since it is smaller than the sum of its proper divisors (9929419374720).

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

3742530000000 is an frugal number, since it uses more digits than its factorization.

3742530000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

Adding to 3742530000000 its reverse (352473), we get a palindrome (3742530352473).

The spelling of 3742530000000 in words is "three trillion, seven hundred forty-two billion, five hundred thirty million", and thus it is an aban number.