38760000 has 280 divisors, whose sum is σ = 142829280. Its totient is φ = 9216000.

The previous prime is 38759989. The next prime is 38760041. The reversal of 38760000 is 6783.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2039991 + ... + 2040009.

Almost surely, 2^38760000 is an apocalyptic number.

38760000 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 38760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71414640).

38760000 is an abundant number, since it is smaller than the sum of its proper divisors (104069280).

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

38760000 is a wasteful number, since it uses less digits than its factorization.

38760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 38760000 is about 6225.7529665094. The cubic root of 38760000 is about 338.4240793466.

Adding to 38760000 its reverse (6783), we get a palindrome (38766783).

The spelling of 38760000 in words is "thirty-eight million, seven hundred sixty thousand".