4274638368 has 192 divisors, whose sum is σ = 15066196992. Its totient is φ = 1024865280.

The previous prime is 4274638363. The next prime is 4274638387. The reversal of 4274638368 is 8638364724.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4274638368.

It is not an unprimeable number, because it can be changed into a prime (4274638363) 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 31 ways as a sum of consecutive naturals, for example, 73855 + ... + 118337.

It is an arithmetic number, because the mean of its divisors is an integer number (78469776).

Almost surely, 2^4274638368 is an apocalyptic number.

4274638368 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 4274638368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7533098496).

4274638368 is an abundant number, since it is smaller than the sum of its proper divisors (10791558624).

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

4274638368 is a wasteful number, since it uses less digits than its factorization.

4274638368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44527 (or 44519 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The square root of 4274638368 is about 65380.7186256009. The cubic root of 4274638368 is about 1622.9300182533.

The spelling of 4274638368 in words is "four billion, two hundred seventy-four million, six hundred thirty-eight thousand, three hundred sixty-eight".