38129760 has 72 divisors (see below), whose sum is σ = 130122720. Its totient is φ = 10167552.

The previous prime is 38129747. The next prime is 38129761. The reversal of 38129760 is 6792183.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38129761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11800 + ... + 14679.

It is an arithmetic number, because the mean of its divisors is an integer number (1807260).

Almost surely, 2^38129760 is an apocalyptic number.

38129760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38129760 is an abundant number, since it is smaller than the sum of its proper divisors (91992960).

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

38129760 is a wasteful number, since it uses less digits than its factorization.

38129760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26500 (or 26489 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 38129760 is about 6174.9299591169. The cubic root of 38129760 is about 336.5797813019.

The spelling of 38129760 in words is "thirty-eight million, one hundred twenty-nine thousand, seven hundred sixty".