3834253675008 has 240 divisors, whose sum is σ = 11721406656960. Its totient is φ = 1202435555328.

The previous prime is 3834253674967. The next prime is 3834253675027. The reversal of 3834253675008 is 8005763524383.

It is a happy number.

3834253675008 is a `hidden beast` number, since 3 + 8 + 34 + 2 + 536 + 75 + 0 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240248533 + ... + 240264491.

It is an arithmetic number, because the mean of its divisors is an integer number (48839194404).

Almost surely, 2^{3834253675008} 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 3834253675008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860703328480).

3834253675008 is an abundant number, since it is smaller than the sum of its proper divisors (7887152981952).

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

3834253675008 is a wasteful number, since it uses less digits than its factorization.

3834253675008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19067 (or 19048 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 3834253675008 in words is "three trillion, eight hundred thirty-four billion, two hundred fifty-three million, six hundred seventy-five thousand, eight".