3846032588160 has 1536 divisors, whose sum is σ = 16166062448640. Its totient is φ = 824131584000.

The previous prime is 3846032588149. The next prime is 3846032588267. The reversal of 3846032588160 is 618852306483.

3846032588160 is a `hidden beast` number, since 3 + 8 + 4 + 603 + 25 + 8 + 8 + 1 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3846032588097 and 3846032588106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5565893415 + ... + 5565894105.

It is an arithmetic number, because the mean of its divisors is an integer number (10524780240).

Almost surely, 2^{3846032588160} is an apocalyptic number.

3846032588160 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 3846032588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8083031224320).

3846032588160 is an abundant number, since it is smaller than the sum of its proper divisors (12320029860480).

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

3846032588160 is a wasteful number, since it uses less digits than its factorization.

3846032588160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 3846032588160 in words is "three trillion, eight hundred forty-six billion, thirty-two million, five hundred eighty-eight thousand, one hundred sixty".