3843262080 has 960 divisors, whose sum is σ = 17094904200. Its totient is φ = 817496064.

The previous prime is 3843262037. The next prime is 3843262151. The reversal of 3843262080 is 802623483.

It can be written as a sum of positive squares in 4 ways, for example, as 3017964096 + 825297984 = 54936^2 + 28728^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 43182676 + ... + 43182764.

Almost surely, 2^3843262080 is an apocalyptic number.

3843262080 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 3843262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8547452100).

3843262080 is an abundant number, since it is smaller than the sum of its proper divisors (13251642120).

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

3843262080 is a wasteful number, since it uses less digits than its factorization.

3843262080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3843262080 is about 61994.0487466337. The cubic root of 3843262080 is about 1566.3903549720.

The spelling of 3843262080 in words is "three billion, eight hundred forty-three million, two hundred sixty-two thousand, eighty".