3838263264 has 576 divisors, whose sum is σ = 13812664320. Its totient is φ = 1003622400.

The previous prime is 3838263263. The next prime is 3838263271. The reversal of 3838263264 is 4623628383.

3838263264 is a `hidden beast` number, since 3 + 8 + 3 + 8 + 2 + 632 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3838263263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123814929 + ... + 123814959.

It is an arithmetic number, because the mean of its divisors is an integer number (23980320).

Almost surely, 2^3838263264 is an apocalyptic number.

3838263264 is a gapful number since it is divisible by the number (34) 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 3838263264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6906332160).

3838263264 is an abundant number, since it is smaller than the sum of its proper divisors (9974401056).

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

3838263264 is a wasteful number, since it uses less digits than its factorization.

3838263264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 83 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 3838263264 is about 61953.7187261588. The cubic root of 3838263264 is about 1565.7109412993.

The spelling of 3838263264 in words is "three billion, eight hundred thirty-eight million, two hundred sixty-three thousand, two hundred sixty-four".