38353120 has 48 divisors (see below), whose sum is σ = 97584480. Its totient is φ = 14160384.

The previous prime is 38353103. The next prime is 38353123. The reversal of 38353120 is 2135383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38353123) 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, 7140 + ... + 11299.

It is an arithmetic number, because the mean of its divisors is an integer number (2033010).

Almost surely, 2^38353120 is an apocalyptic number.

It is an amenable number.

38353120 is an abundant number, since it is smaller than the sum of its proper divisors (59231360).

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

38353120 is a wasteful number, since it uses less digits than its factorization.

38353120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18467 (or 18459 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 38353120 is about 6192.9895850066. The cubic root of 38353120 is about 337.2357181176.

The spelling of 38353120 in words is "thirty-eight million, three hundred fifty-three thousand, one hundred twenty".