3847735872 has 336 divisors, whose sum is σ = 12355080192. Its totient is φ = 1183818240.

The previous prime is 3847735769. The next prime is 3847735901. The reversal of 3847735872 is 2785377483.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11088403 + ... + 11088749.

It is an arithmetic number, because the mean of its divisors is an integer number (36771072).

Almost surely, 2^3847735872 is an apocalyptic number.

3847735872 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 3847735872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177540096).

3847735872 is an abundant number, since it is smaller than the sum of its proper divisors (8507344320).

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

3847735872 is a wasteful number, since it uses less digits than its factorization.

3847735872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 406 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The square root of 3847735872 is about 62030.1206834228. The cubic root of 3847735872 is about 1566.9979106646.

The spelling of 3847735872 in words is "three billion, eight hundred forty-seven million, seven hundred thirty-five thousand, eight hundred seventy-two".