3774926819328 has 832 divisors, whose sum is σ = 12983225149440. Its totient is φ = 949512830976.

The previous prime is 3774926819297. The next prime is 3774926819371. The reversal of 3774926819328 is 8239186294773.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2306002126 + ... + 2306003762.

It is an arithmetic number, because the mean of its divisors is an integer number (15604837920).

Almost surely, 2^{3774926819328} is an apocalyptic number.

3774926819328 is a gapful number since it is divisible by the number (38) 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 3774926819328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6491612574720).

3774926819328 is an abundant number, since it is smaller than the sum of its proper divisors (9208298330112).

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

3774926819328 is a wasteful number, since it uses less digits than its factorization.

3774926819328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1768 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 69.

The spelling of 3774926819328 in words is "three trillion, seven hundred seventy-four billion, nine hundred twenty-six million, eight hundred nineteen thousand, three hundred twenty-eight".