38126880 has 288 divisors, whose sum is σ = 148599360. Its totient is φ = 8816640.

The previous prime is 38126873. The next prime is 38126887. The reversal of 38126880 is 8862183.

It is an interprime number because it is at equal distance from previous prime (38126873) and next prime (38126887).

It is a tau number, because it is divible by the number of its divisors (288).

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 (38126887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459319 + ... + 459401.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 2^38126880 is an apocalyptic number.

38126880 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 38126880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

38126880 is an abundant number, since it is smaller than the sum of its proper divisors (110472480).

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

38126880 is a wasteful number, since it uses less digits than its factorization.

38126880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 38126880 is about 6174.6967536876. The cubic root of 38126880 is about 336.5713069573.

It can be divided in two parts, 381 and 26880, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 38126880 in words is "thirty-eight million, one hundred twenty-six thousand, eight hundred eighty".