38761944 has 64 divisors (see below), whose sum is σ = 104966400. Its totient is φ = 11857536.

The previous prime is 38761939. The next prime is 38761949. The reversal of 38761944 is 44916783.

It is an interprime number because it is at equal distance from previous prime (38761939) and next prime (38761949).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 38761896 and 38761905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38761949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88077 + ... + 88515.

It is an arithmetic number, because the mean of its divisors is an integer number (1640100).

Almost surely, 2^38761944 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 38761944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52483200).

38761944 is an abundant number, since it is smaller than the sum of its proper divisors (66204456).

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

38761944 is a wasteful number, since it uses less digits than its factorization.

38761944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 740 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 38761944 is about 6225.9090902454. The cubic root of 38761944 is about 338.4297371159.

The spelling of 38761944 in words is "thirty-eight million, seven hundred sixty-one thousand, nine hundred forty-four".