3820601180160 has 1536 divisors, whose sum is σ = 14839556659200. Its totient is φ = 905403432960.

The previous prime is 3820601180131. The next prime is 3820601180177. The reversal of 3820601180160 is 610811060283.

3820601180160 is a `hidden beast` number, since 3 + 8 + 20 + 601 + 18 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46031339479 + ... + 46031339561.

It is an arithmetic number, because the mean of its divisors is an integer number (9661169700).

Almost surely, 2^{3820601180160} is an apocalyptic number.

3820601180160 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 3820601180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7419778329600).

3820601180160 is an abundant number, since it is smaller than the sum of its proper divisors (11018955479040).

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

3820601180160 is a wasteful number, since it uses less digits than its factorization.

3820601180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 3820601180160 in words is "three trillion, eight hundred twenty billion, six hundred one million, one hundred eighty thousand, one hundred sixty".