3438200810848 has 192 divisors, whose sum is σ = 7223117690880. Its totient is φ = 1607680622592.

The previous prime is 3438200810797. The next prime is 3438200810897. The reversal of 3438200810848 is 8480180028343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2312171961 + ... + 2312173447.

It is an arithmetic number, because the mean of its divisors is an integer number (37620404640).

Almost surely, 2^{3438200810848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3438200810848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611558845440).

3438200810848 is an abundant number, since it is smaller than the sum of its proper divisors (3784916880032).

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

3438200810848 is a wasteful number, since it uses less digits than its factorization.

3438200810848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 49.

The spelling of 3438200810848 in words is "three trillion, four hundred thirty-eight billion, two hundred million, eight hundred ten thousand, eight hundred forty-eight".