3742026688512 has 576 divisors, whose sum is σ = 13366281277440. Its totient is φ = 1022643781632.

The previous prime is 3742026688441. The next prime is 3742026688513. The reversal of 3742026688512 is 2158866202473.

3742026688512 is a `hidden beast` number, since 3 + 7 + 4 + 20 + 26 + 6 + 88 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3742026688513) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 80100553 + ... + 80147255.

It is an arithmetic number, because the mean of its divisors is an integer number (23205349440).

Almost surely, 2^{3742026688512} is an apocalyptic number.

3742026688512 is a gapful number since it is divisible by the number (32) 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 3742026688512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683140638720).

3742026688512 is an abundant number, since it is smaller than the sum of its proper divisors (9624254588928).

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

3742026688512 is an equidigital number, since it uses as much as digits as its factorization.

3742026688512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46770 (or 46738 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 3742026688512 in words is "three trillion, seven hundred forty-two billion, twenty-six million, six hundred eighty-eight thousand, five hundred twelve".