3842170820496 has 120 divisors (see below), whose sum is σ = 11048008116600. Its totient is φ = 1245584590848.

The previous prime is 3842170820461. The next prime is 3842170820513. The reversal of 3842170820496 is 6940280712483.

3842170820496 is a `hidden beast` number, since 3 + 8 + 4 + 2 + 1 + 70 + 82 + 0 + 496 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 664935870096 + 3177234950400 = 815436^2 + 1782480^2 .

It is a super-2 number, since 2×3842170820496² (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 23 ways as a sum of consecutive naturals, for example, 12599230 + ... + 12900578.

It is an arithmetic number, because the mean of its divisors is an integer number (92066734305).

Almost surely, 2^{3842170820496} is an apocalyptic number.

3842170820496 is a gapful number since it is divisible by the number (36) 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 3842170820496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524004058300).

3842170820496 is an abundant number, since it is smaller than the sum of its proper divisors (7205837296104).

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

3842170820496 is a wasteful number, since it uses less digits than its factorization.

3842170820496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303793 (or 303784 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 3842170820496 in words is "three trillion, eight hundred forty-two billion, one hundred seventy million, eight hundred twenty thousand, four hundred ninety-six".