38320032 has 48 divisors (see below), whose sum is σ = 100910880. Its totient is φ = 12732672.

The previous prime is 38320031. The next prime is 38320033. The reversal of 38320032 is 23002383.

It is an interprime number because it is at equal distance from previous prime (38320031) and next prime (38320033).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 38319990 and 38320008.

It is not an unprimeable number, because it can be changed into a prime (38320031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53694 + ... + 54402.

It is an arithmetic number, because the mean of its divisors is an integer number (2102310).

Almost surely, 2^38320032 is an apocalyptic number.

38320032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38320032 is an abundant number, since it is smaller than the sum of its proper divisors (62590848).

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

38320032 is a wasteful number, since it uses less digits than its factorization.

38320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 38320032 is about 6190.3176008990. The cubic root of 38320032 is about 337.1387102266.

The spelling of 38320032 in words is "thirty-eight million, three hundred twenty thousand, thirty-two".