38941344 has 96 divisors (see below), whose sum is σ = 122351040. Its totient is φ = 11978496.

The previous prime is 38941337. The next prime is 38941351. The reversal of 38941344 is 44314983.

It is an interprime number because it is at equal distance from previous prime (38941337) and next prime (38941351).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 38941299 and 38941308.

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, 9499 + ... + 12965.

It is an arithmetic number, because the mean of its divisors is an integer number (1274490).

Almost surely, 2^38941344 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 38941344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61175520).

38941344 is an abundant number, since it is smaller than the sum of its proper divisors (83409696).

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

38941344 is a wasteful number, since it uses less digits than its factorization.

38941344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3485 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 38941344 is about 6240.2999927888. The cubic root of 38941344 is about 338.9510462634.

The spelling of 38941344 in words is "thirty-eight million, nine hundred forty-one thousand, three hundred forty-four".