38620800 has 240 divisors, whose sum is σ = 143475750. Its totient is φ = 10229760.

The previous prime is 38620781. The next prime is 38620831. The reversal of 38620800 is 802683.

38620800 is a `hidden beast` number, since 38 + 620 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 20575296 + 18045504 = 4536^2 + 4248^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 259126 + ... + 259274.

Almost surely, 2^38620800 is an apocalyptic number.

38620800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71737875).

38620800 is an abundant number, since it is smaller than the sum of its proper divisors (104854950).

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

38620800 is a wasteful number, since it uses less digits than its factorization.

38620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 38620800 is about 6214.5635405875. The cubic root of 38620800 is about 338.0184623973.

The spelling of 38620800 in words is "thirty-eight million, six hundred twenty thousand, eight hundred".