3843091412352 has 160 divisors (see below), whose sum is σ = 11442900110400. Its totient is φ = 1280367129600.

The previous prime is 3843091412327. The next prime is 3843091412389. The reversal of 3843091412352 is 2532141903483.

It is a happy number.

3843091412352 is a `hidden beast` number, since 3 + 8 + 430 + 9 + 141 + 23 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3843091412298 and 3843091412307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20132974 + ... + 20322962.

It is an arithmetic number, because the mean of its divisors is an integer number (71518125690).

Almost surely, 2^{3843091412352} is an apocalyptic number.

3843091412352 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 3843091412352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5721450055200).

3843091412352 is an abundant number, since it is smaller than the sum of its proper divisors (7599808698048).

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

3843091412352 is a wasteful number, since it uses less digits than its factorization.

3843091412352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191966 (or 191945 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3843091412352 in words is "three trillion, eight hundred forty-three billion, ninety-one million, four hundred twelve thousand, three hundred fifty-two".