38934400 has 96 divisors (see below), whose sum is σ = 100551600. Its totient is φ = 14896640.

The previous prime is 38934391. The next prime is 38934407. The reversal of 38934400 is 443983.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38934407) 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, 1692789 + ... + 1692811.

Almost surely, 2^38934400 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 38934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50275800).

38934400 is an abundant number, since it is smaller than the sum of its proper divisors (61617200).

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

38934400 is an frugal number, since it uses more digits than its factorization.

38934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 38934400 is about 6239.7435844752. The cubic root of 38934400 is about 338.9308978749.

The spelling of 38934400 in words is "thirty-eight million, nine hundred thirty-four thousand, four hundred".