38404320 has 96 divisors (see below), whose sum is σ = 127370880. Its totient is φ = 9699840.

The previous prime is 38404313. The next prime is 38404361. The reversal of 38404320 is 2340483.

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 (24).

38404320 is a modest number, since divided by 4320 gives 3840 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7015 + ... + 11225.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 2^38404320 is an apocalyptic number.

38404320 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 38404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63685440).

38404320 is an abundant number, since it is smaller than the sum of its proper divisors (88966560).

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

38404320 is a wasteful number, since it uses less digits than its factorization.

38404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4240 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 38404320 is about 6197.1219126301. The cubic root of 38404320 is about 337.3857171363.

The spelling of 38404320 in words is "thirty-eight million, four hundred four thousand, three hundred twenty".