4036226304 has 288 divisors, whose sum is σ = 12329146368. Its totient is φ = 1161216000.

The previous prime is 4036226281. The next prime is 4036226393.

It is a happy number.

4036226304 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4036226304² = 32582245554203000832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14893689 + ... + 14893959.

It is an arithmetic number, because the mean of its divisors is an integer number (42809536).

Almost surely, 2^4036226304 is an apocalyptic number.

4036226304 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 4036226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6164573184).

4036226304 is an abundant number, since it is smaller than the sum of its proper divisors (8292920064).

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

4036226304 is a wasteful number, since it uses less digits than its factorization.

4036226304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 4036226304 is about 63531.3017653503. The cubic root of 4036226304 is about 1592.1787969519.

It can be divided in two parts, 40362 and 26304, that added together give a palindrome (66666).

The spelling of 4036226304 in words is "four billion, thirty-six million, two hundred twenty-six thousand, three hundred four".