3846189876352 has 64 divisors (see below), whose sum is σ = 7729919904960. Its totient is φ = 1906198778880.

The previous prime is 3846189876341. The next prime is 3846189876383. The reversal of 3846189876352 is 2536789816483.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3846189876352² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7067293 + ... + 7592035.

It is an arithmetic number, because the mean of its divisors is an integer number (120779998515).

Almost surely, 2^{3846189876352} is an apocalyptic number.

3846189876352 is a gapful number since it is divisible by the number (32) 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 3846189876352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864959952480).

3846189876352 is an abundant number, since it is smaller than the sum of its proper divisors (3883730028608).

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

3846189876352 is a wasteful number, since it uses less digits than its factorization.

3846189876352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525261 (or 525249 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 70.

The spelling of 3846189876352 in words is "three trillion, eight hundred forty-six billion, one hundred eighty-nine million, eight hundred seventy-six thousand, three hundred fifty-two".