38461824 has 128 divisors (see below), whose sum is σ = 117504000. Its totient is φ = 12372480.

The previous prime is 38461811. The next prime is 38461831. The reversal of 38461824 is 42816483.

38461824 = 253² + 254² + ... + 508².

38461824 is a `hidden beast` number, since 38 + 4 + 618 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106957 + ... + 107315.

It is an arithmetic number, because the mean of its divisors is an integer number (918000).

Almost surely, 2^38461824 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 38461824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58752000).

38461824 is an abundant number, since it is smaller than the sum of its proper divisors (79042176).

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

38461824 is a wasteful number, since it uses less digits than its factorization.

38461824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 395 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 38461824 is about 6201.7597502644. The cubic root of 38461824 is about 337.5540259191.

The spelling of 38461824 in words is "thirty-eight million, four hundred sixty-one thousand, eight hundred twenty-four".