4281736368 has 320 divisors, whose sum is σ = 14235533312. Its totient is φ = 1078686720.

The previous prime is 4281736343. The next prime is 4281736369. The reversal of 4281736368 is 8636371824.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 (4281736369) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13946871 + ... + 13947177.

Almost surely, 2^4281736368 is an apocalyptic number.

4281736368 is a gapful number since it is divisible by the number (48) 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 4281736368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117766656).

4281736368 is an abundant number, since it is smaller than the sum of its proper divisors (9953796944).

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

4281736368 is a wasteful number, since it uses less digits than its factorization.

4281736368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 4281736368 is about 65434.9781691719. The cubic root of 4281736368 is about 1623.8278085935.

The spelling of 4281736368 in words is "four billion, two hundred eighty-one million, seven hundred thirty-six thousand, three hundred sixty-eight".