38814072 has 64 divisors (see below), whose sum is σ = 106479360. Its totient is φ = 11692800.

The previous prime is 38814047. The next prime is 38814089. The reversal of 38814072 is 27041883.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 61197 + ... + 61827.

It is an arithmetic number, because the mean of its divisors is an integer number (1663740).

Almost surely, 2^38814072 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 38814072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53239680).

38814072 is an abundant number, since it is smaller than the sum of its proper divisors (67665288).

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

38814072 is a wasteful number, since it uses less digits than its factorization.

38814072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 38814072 is about 6230.0940602851. The cubic root of 38814072 is about 338.5813786583.

The spelling of 38814072 in words is "thirty-eight million, eight hundred fourteen thousand, seventy-two".