3802432000 has 320 divisors, whose sum is σ = 10341302400. Its totient is φ = 1389772800.

The previous prime is 3802431991. The next prime is 3802432003. The reversal of 3802432000 is 2342083.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3802432000² = 28916978229248000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3802432003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64447971 + ... + 64448029.

It is an arithmetic number, because the mean of its divisors is an integer number (32316570).

Almost surely, 2^3802432000 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 3802432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170651200).

3802432000 is an abundant number, since it is smaller than the sum of its proper divisors (6538870400).

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

3802432000 is an equidigital number, since it uses as much as digits as its factorization.

3802432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3802432000 is about 61663.8629993289. The cubic root of 3802432000 is about 1560.8235844069.

Adding to 3802432000 its reverse (2342083), we get a palindrome (3804774083).

It can be divided in two parts, 380 and 2432000, that multiplied together give a square (924160000 = 30400²).

The spelling of 3802432000 in words is "three billion, eight hundred two million, four hundred thirty-two thousand".