3821632320 has 224 divisors, whose sum is σ = 13595884416. Its totient is φ = 901324800.

The previous prime is 3821632307. The next prime is 3821632337. The reversal of 3821632320 is 232361283.

3821632320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385830 + ... + 395610.

Almost surely, 2^3821632320 is an apocalyptic number.

3821632320 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 3821632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6797942208).

3821632320 is an abundant number, since it is smaller than the sum of its proper divisors (9774252096).

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

3821632320 is a wasteful number, since it uses less digits than its factorization.

3821632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9849 (or 9839 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3821632320 is about 61819.3523097743. The cubic root of 3821632320 is about 1563.4462928740.

It can be divided in two parts, 382163 and 2320, that added together give a palindrome (384483).

The spelling of 3821632320 in words is "three billion, eight hundred twenty-one million, six hundred thirty-two thousand, three hundred twenty".