38425824 has 72 divisors (see below), whose sum is σ = 114044112. Its totient is φ = 12249600.

The previous prime is 38425823. The next prime is 38425853. The reversal of 38425824 is 42852483.

38425824 is a `hidden beast` number, since 38 + 42 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38425823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3724 + ... + 9524.

It is an arithmetic number, because the mean of its divisors is an integer number (1583946).

Almost surely, 2^38425824 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 38425824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57022056).

38425824 is an abundant number, since it is smaller than the sum of its proper divisors (75618288).

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

38425824 is a wasteful number, since it uses less digits than its factorization.

38425824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5840 (or 5829 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 38425824 is about 6198.8566687737. The cubic root of 38425824 is about 337.4486769695.

The spelling of 38425824 in words is "thirty-eight million, four hundred twenty-five thousand, eight hundred twenty-four".