38049120 has 72 divisors (see below), whose sum is σ = 129847536. Its totient is φ = 10146048.

The previous prime is 38049097. The next prime is 38049139. The reversal of 38049120 is 2194083.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11772 + ... + 14651.

It is an arithmetic number, because the mean of its divisors is an integer number (1803438).

Almost surely, 2^38049120 is an apocalyptic number.

38049120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38049120 is an abundant number, since it is smaller than the sum of its proper divisors (91798416).

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

38049120 is a wasteful number, since it uses less digits than its factorization.

38049120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26444 (or 26433 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 38049120 is about 6168.3968743913. The cubic root of 38049120 is about 336.3423381605.

The spelling of 38049120 in words is "thirty-eight million, forty-nine thousand, one hundred twenty".