3834351841320 has 1024 divisors, whose sum is σ = 17417194905600. Its totient is φ = 724469391360.

The previous prime is 3834351841273. The next prime is 3834351841357. The reversal of 3834351841320 is 231481534383.

3834351841320 is a `hidden beast` number, since 3 + 8 + 3 + 435 + 1 + 84 + 132 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 72405892 + ... + 72458828.

It is an arithmetic number, because the mean of its divisors is an integer number (17008979400).

Almost surely, 2^{3834351841320} is an apocalyptic number.

3834351841320 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 3834351841320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8708597452800).

3834351841320 is an abundant number, since it is smaller than the sum of its proper divisors (13582843064280).

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

3834351841320 is a wasteful number, since it uses less digits than its factorization.

3834351841320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53055 (or 53045 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3834351841320 in words is "three trillion, eight hundred thirty-four billion, three hundred fifty-one million, eight hundred forty-one thousand, three hundred twenty".