38629344 has 72 divisors (see below), whose sum is σ = 109848312. Its totient is φ = 11880960.

The previous prime is 38629333. The next prime is 38629361. The reversal of 38629344 is 44392683.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15034 + ... + 17414.

It is an arithmetic number, because the mean of its divisors is an integer number (1525671).

Almost surely, 2^38629344 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 38629344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54924156).

38629344 is an abundant number, since it is smaller than the sum of its proper divisors (71218968).

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

38629344 is a wasteful number, since it uses less digits than its factorization.

38629344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2399 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 38629344 is about 6215.2509201158. The cubic root of 38629344 is about 338.0433869354.

The spelling of 38629344 in words is "thirty-eight million, six hundred twenty-nine thousand, three hundred forty-four".