3849298034400 has 864 divisors, whose sum is σ = 17021313691200. Its totient is φ = 796828631040.

The previous prime is 3849298034399. The next prime is 3849298034411. The reversal of 3849298034400 is 44308929483.

3849298034400 is a `hidden beast` number, since 3 + 8 + 4 + 9 + 298 + 0 + 344 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34670176 + ... + 34781024.

It is an arithmetic number, because the mean of its divisors is an integer number (19700594550).

Almost surely, 2^{3849298034400} is an apocalyptic number.

3849298034400 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 3849298034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8510656845600).

3849298034400 is an abundant number, since it is smaller than the sum of its proper divisors (13172015656800).

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

3849298034400 is a wasteful number, since it uses less digits than its factorization.

3849298034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110948 (or 110932 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 3849298034400 in words is "three trillion, eight hundred forty-nine billion, two hundred ninety-eight million, thirty-four thousand, four hundred".