38778300 has 108 divisors (see below), whose sum is σ = 132632136. Its totient is φ = 9398400.

The previous prime is 38778287. The next prime is 38778301. The reversal of 38778300 is 387783.

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 (38778301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7942 + ... + 11858.

Almost surely, 2^38778300 is an apocalyptic number.

38778300 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 38778300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66316068).

38778300 is an abundant number, since it is smaller than the sum of its proper divisors (93853836).

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

38778300 is a wasteful number, since it uses less digits than its factorization.

38778300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 3938 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 38778300 is about 6227.2224948206. Note that the first 3 decimals coincide. The cubic root of 38778300 is about 338.4773317223.

Multiplying 38778300 by its reverse (387783), we get a square (15037565508900 = 3877830²).

38778300 divided by its reverse (387783) gives a square (100 = 10²).

It can be divided in two parts, 387 and 78300, that added together give a palindrome (78687).

The spelling of 38778300 in words is "thirty-eight million, seven hundred seventy-eight thousand, three hundred".