38804800 has 84 divisors (see below), whose sum is σ = 97007680. Its totient is φ = 15275520.

The previous prime is 38804797. The next prime is 38804803. The reversal of 38804800 is 840883.

It is an interprime number because it is at equal distance from previous prime (38804797) and next prime (38804803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38804803) 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, 126247 + ... + 126553.

Almost surely, 2^38804800 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 38804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48503840).

38804800 is an abundant number, since it is smaller than the sum of its proper divisors (58202880).

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

38804800 is a wasteful number, since it uses less digits than its factorization.

38804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 38804800 is about 6229.3498858228. The cubic root of 38804800 is about 338.5544161300.

The spelling of 38804800 in words is "thirty-eight million, eight hundred four thousand, eight hundred".