3774389709312 has 320 divisors, whose sum is σ = 11678947737600. Its totient is φ = 1202122321920.

The previous prime is 3774389709263. The next prime is 3774389709319. The reversal of 3774389709312 is 2139079834773.

3774389709312 is a `hidden beast` number, since 37 + 7 + 438 + 9 + 70 + 93 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3774389709312.

It is not an unprimeable number, because it can be changed into a prime (3774389709319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33799233 + ... + 33910719.

It is an arithmetic number, because the mean of its divisors is an integer number (36496711680).

Almost surely, 2^{3774389709312} is an apocalyptic number.

3774389709312 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 3774389709312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5839473868800).

3774389709312 is an abundant number, since it is smaller than the sum of its proper divisors (7904558028288).

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

3774389709312 is a wasteful number, since it uses less digits than its factorization.

3774389709312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111624 (or 111602 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 3774389709312 in words is "three trillion, seven hundred seventy-four billion, three hundred eighty-nine million, seven hundred nine thousand, three hundred twelve".