38742080 has 112 divisors (see below), whose sum is σ = 101559360. Its totient is φ = 13989888.

The previous prime is 38742079. The next prime is 38742107. The reversal of 38742080 is 8024783.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278651 + ... + 278789.

It is an arithmetic number, because the mean of its divisors is an integer number (906780).

Almost surely, 2^38742080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50779680).

38742080 is an abundant number, since it is smaller than the sum of its proper divisors (62817280).

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

38742080 is a wasteful number, since it uses less digits than its factorization.

38742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 38742080 is about 6224.3136167774. The cubic root of 38742080 is about 338.3719165125.

The spelling of 38742080 in words is "thirty-eight million, seven hundred forty-two thousand, eighty".