4276381824 has 512 divisors, whose sum is σ = 15730848000. Its totient is φ = 1123614720.

The previous prime is 4276381817. The next prime is 4276381871. The reversal of 4276381824 is 4281836724.

It is a happy number.

4276381824 is a `hidden beast` number, since 4 + 2 + 7 + 638 + 1 + 8 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4276381824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8401282 + ... + 8401790.

Almost surely, 2^4276381824 is an apocalyptic number.

4276381824 is a gapful number since it is divisible by the number (44) 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 4276381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7865424000).

4276381824 is an abundant number, since it is smaller than the sum of its proper divisors (11454466176).

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

4276381824 is a wasteful number, since it uses less digits than its factorization.

4276381824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 555 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 4276381824 is about 65394.0503715743. The cubic root of 4276381824 is about 1623.1506312612.

The spelling of 4276381824 in words is "four billion, two hundred seventy-six million, three hundred eighty-one thousand, eight hundred twenty-four".