3823999632 has 240 divisors, whose sum is σ = 11528637120. Its totient is φ = 1226244096.

The previous prime is 3823999609. The next prime is 3823999633. The reversal of 3823999632 is 2369993283.

It is a super-2 number, since 2×3823999632² = 29245946371072270848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3823999633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14879248 + ... + 14879504.

It is an arithmetic number, because the mean of its divisors is an integer number (48035988).

Almost surely, 2^3823999632 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 3823999632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5764318560).

3823999632 is an abundant number, since it is smaller than the sum of its proper divisors (7704637488).

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

3823999632 is a wasteful number, since it uses less digits than its factorization.

3823999632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 394 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 3823999632 is about 61838.4963594685. The cubic root of 3823999632 is about 1563.7690520944.

The spelling of 3823999632 in words is "three billion, eight hundred twenty-three million, nine hundred ninety-nine thousand, six hundred thirty-two".