38344320 has 256 divisors, whose sum is σ = 155692800. Its totient is φ = 8736768.

The previous prime is 38344297. The next prime is 38344349. The reversal of 38344320 is 2344383.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120802 + ... + 121118.

It is an arithmetic number, because the mean of its divisors is an integer number (608175).

Almost surely, 2^38344320 is an apocalyptic number.

38344320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77846400).

38344320 is an abundant number, since it is smaller than the sum of its proper divisors (117348480).

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

38344320 is a wasteful number, since it uses less digits than its factorization.

38344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 38344320 is about 6192.2790634790. The cubic root of 38344320 is about 337.2099235944.

The spelling of 38344320 in words is "thirty-eight million, three hundred forty-four thousand, three hundred twenty".