38331392 has 88 divisors (see below), whose sum is σ = 86661792. Its totient is φ = 16793600.

The previous prime is 38331389. The next prime is 38331421. The reversal of 38331392 is 29313383.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×38331392² = 2938591225315328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 461783 + ... + 461865.

Almost surely, 2^38331392 is an apocalyptic number.

38331392 is a gapful number since it is divisible by the number (32) 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 38331392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43330896).

38331392 is an abundant number, since it is smaller than the sum of its proper divisors (48330400).

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

38331392 is a wasteful number, since it uses less digits than its factorization.

38331392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its digits is 11664, while the sum is 32.

The square root of 38331392 is about 6191.2350948740. The cubic root of 38331392 is about 337.1720219363.

Subtracting from 38331392 its reverse (29313383), we obtain a square (9018009 = 3003²).

It can be divided in two parts, 3833 and 1392, that added together give a palindrome (5225).

The spelling of 38331392 in words is "thirty-eight million, three hundred thirty-one thousand, three hundred ninety-two".