3827482512 has 240 divisors, whose sum is σ = 12408580800. Its totient is φ = 1010257920.

The previous prime is 3827482511. The next prime is 3827482517. The reversal of 3827482512 is 2152847283.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3827482511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1831164 + ... + 1833252.

It is an arithmetic number, because the mean of its divisors is an integer number (51702420).

Almost surely, 2^3827482512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3827482512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6204290400).

3827482512 is an abundant number, since it is smaller than the sum of its proper divisors (8581098288).

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

3827482512 is a wasteful number, since it uses less digits than its factorization.

3827482512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2161 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 3827482512 is about 61866.6510488486. The cubic root of 3827482512 is about 1564.2436657443.

It can be divided in two parts, 38274 and 82512, that added together give a triangular number (120786 = T₄₉₁).

The spelling of 3827482512 in words is "three billion, eight hundred twenty-seven million, four hundred eighty-two thousand, five hundred twelve".