3846351360 has 160 divisors (see below), whose sum is σ = 12368708352. Its totient is φ = 1019658240.

The previous prime is 3846351349. The next prime is 3846351367. The reversal of 3846351360 is 631536483.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (3846351367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1388697 + ... + 1391463.

Almost surely, 2^3846351360 is an apocalyptic number.

3846351360 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 3846351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6184354176).

3846351360 is an abundant number, since it is smaller than the sum of its proper divisors (8522356992).

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

3846351360 is a wasteful number, since it uses less digits than its factorization.

3846351360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 3846351360 is about 62018.9596816973. The cubic root of 3846351360 is about 1566.8099397164.

The spelling of 3846351360 in words is "three billion, eight hundred forty-six million, three hundred fifty-one thousand, three hundred sixty".