38755080 has 288 divisors, whose sum is σ = 158722200. Its totient is φ = 8176896.

The previous prime is 38755063. The next prime is 38755081. The reversal of 38755080 is 8055783.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 636804 + 38118276 = 798^2 + 6174^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38755081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2981154 + ... + 2981166.

Almost surely, 2^38755080 is an apocalyptic number.

38755080 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 38755080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79361100).

38755080 is an abundant number, since it is smaller than the sum of its proper divisors (119967120).

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

38755080 is a wasteful number, since it uses less digits than its factorization.

38755080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 38755080 is about 6225.3578210413. The cubic root of 38755080 is about 338.4097594556.

Multiplying 38755080 by its product of nonzero digits (33600), we get a cube (1302170688000 = 10920³).

The spelling of 38755080 in words is "thirty-eight million, seven hundred fifty-five thousand, eighty".