3822432768 has 840 divisors, whose sum is σ = 15296141520. Its totient is φ = 940584960.

The previous prime is 3822432727. The next prime is 3822432791. The reversal of 3822432768 is 8672342283.

3822432768 is a `hidden beast` number, since 382 + 243 + 27 + 6 + 8 = 666.

It is a super-2 number, since 2×3822432768² = 29221984531760283648, which contains 22 as substring.

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

Its product of digits (774144) is a multiple of the sum of its prime divisors (42).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 201180663 + ... + 201180681.

Almost surely, 2^3822432768 is an apocalyptic number.

3822432768 is a gapful number since it is divisible by the number (38) 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 3822432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7648070760).

3822432768 is an abundant number, since it is smaller than the sum of its proper divisors (11473708752).

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

3822432768 is an equidigital number, since it uses as much as digits as its factorization.

3822432768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 42 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 3822432768 is about 61825.8260599889. The cubic root of 3822432768 is about 1563.5554408323. Note that the first 3 decimals are identical.

The spelling of 3822432768 in words is "three billion, eight hundred twenty-two million, four hundred thirty-two thousand, seven hundred sixty-eight".