38432800 has 72 divisors (see below), whose sum is σ = 107243136. Its totient is φ = 13175040.

The previous prime is 38432773. The next prime is 38432809. The reversal of 38432800 is 823483.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38432809) 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, 2169 + ... + 9031.

It is an arithmetic number, because the mean of its divisors is an integer number (1489488).

Almost surely, 2^38432800 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 38432800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53621568).

38432800 is an abundant number, since it is smaller than the sum of its proper divisors (68810336).

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

38432800 is a wasteful number, since it uses less digits than its factorization.

38432800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6890 (or 6877 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 38432800 is about 6199.4193276467. The cubic root of 38432800 is about 337.4690963930.

The spelling of 38432800 in words is "thirty-eight million, four hundred thirty-two thousand, eight hundred".