38967264 has 192 divisors, whose sum is σ = 137894400. Its totient is φ = 10450944.

The previous prime is 38967263. The next prime is 38967289. The reversal of 38967264 is 46276983.

38967264 is a `hidden beast` number, since 389 + 6 + 7 + 264 = 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 (38967263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102627 + ... + 103005.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 2^38967264 is an apocalyptic number.

38967264 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 38967264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

38967264 is an abundant number, since it is smaller than the sum of its proper divisors (98927136).

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

38967264 is a wasteful number, since it uses less digits than its factorization.

38967264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 408 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 38967264 is about 6242.3764705439. The cubic root of 38967264 is about 339.0262333838.

The spelling of 38967264 in words is "thirty-eight million, nine hundred sixty-seven thousand, two hundred sixty-four".