3800095159296 has 352 divisors, whose sum is σ = 11043114987520. Its totient is φ = 1157367398400.

The previous prime is 3800095159253. The next prime is 3800095159321. The reversal of 3800095159296 is 6929515900083.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 555484836 + ... + 555491676.

It is an arithmetic number, because the mean of its divisors is an integer number (31372485760).

Almost surely, 2^{3800095159296} 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 3800095159296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5521557493760).

3800095159296 is an abundant number, since it is smaller than the sum of its proper divisors (7243019828224).

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

3800095159296 is a wasteful number, since it uses less digits than its factorization.

3800095159296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7221 (or 7203 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 57.

The spelling of 3800095159296 in words is "three trillion, eight hundred billion, ninety-five million, one hundred fifty-nine thousand, two hundred ninety-six".