38744720 has 80 divisors (see below), whose sum is σ = 105409920. Its totient is φ = 12966912.

The previous prime is 38744707. The next prime is 38744737. The reversal of 38744720 is 2744783.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23276 + ... + 24884.

It is an arithmetic number, because the mean of its divisors is an integer number (1317624).

Almost surely, 2^38744720 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 38744720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52704960).

38744720 is an abundant number, since it is smaller than the sum of its proper divisors (66665200).

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

38744720 is a wasteful number, since it uses less digits than its factorization.

38744720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 38744720 is about 6224.5256847410. The cubic root of 38744720 is about 338.3796022259.

The spelling of 38744720 in words is "thirty-eight million, seven hundred forty-four thousand, seven hundred twenty".