3846758272 has 64 divisors (see below), whose sum is σ = 8812310400. Its totient is φ = 1638434304.

The previous prime is 3846758269. The next prime is 3846758299. The reversal of 3846758272 is 2728576483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132879 + ... + 159217.

It is an arithmetic number, because the mean of its divisors is an integer number (137692350).

Almost surely, 2^3846758272 is an apocalyptic number.

3846758272 is a gapful number since it is divisible by the number (32) 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 3846758272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406155200).

3846758272 is an abundant number, since it is smaller than the sum of its proper divisors (4965552128).

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

3846758272 is a wasteful number, since it uses less digits than its factorization.

3846758272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26523 (or 26511 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 52.

The square root of 3846758272 is about 62022.2401401304. The cubic root of 3846758272 is about 1566.8651895905.

The spelling of 3846758272 in words is "three billion, eight hundred forty-six million, seven hundred fifty-eight thousand, two hundred seventy-two".