38643264 has 224 divisors, whose sum is σ = 131673600. Its totient is φ = 10990080.

The previous prime is 38643233. The next prime is 38643271. The reversal of 38643264 is 46234683.

It is a happy number.

38643264 is a `hidden beast` number, since 3 + 8 + 643 + 2 + 6 + 4 = 666.

It is a super-4 number, since 4×38643264⁴ (a number of 31 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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, 361099 + ... + 361205.

Almost surely, 2^38643264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65836800).

38643264 is an abundant number, since it is smaller than the sum of its proper divisors (93030336).

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

38643264 is a wasteful number, since it uses less digits than its factorization.

38643264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 38643264 is about 6216.3706453203. The cubic root of 38643264 is about 338.0839864586.

The spelling of 38643264 in words is "thirty-eight million, six hundred forty-three thousand, two hundred sixty-four".