38775120 has 40 divisors (see below), whose sum is σ = 120203616. Its totient is φ = 10339968.

The previous prime is 38775119. The next prime is 38775127. The reversal of 38775120 is 2157783.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×38775120³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38775127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80542 + ... + 81021.

Almost surely, 2^38775120 is an apocalyptic number.

38775120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38775120 is an abundant number, since it is smaller than the sum of its proper divisors (81428496).

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

38775120 is a wasteful number, since it uses less digits than its factorization.

38775120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161579 (or 161573 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 38775120 is about 6226.9671590591. The cubic root of 38775120 is about 338.4680792336.

The spelling of 38775120 in words is "thirty-eight million, seven hundred seventy-five thousand, one hundred twenty".