38078432 has 96 divisors (see below), whose sum is σ = 94348800. Its totient is φ = 14750208.

The previous prime is 38078431. The next prime is 38078437. The reversal of 38078432 is 23487083.

It is a junction number, because it is equal to n+sod(n) for n = 38078392 and 38078401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38078431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97694 + ... + 98082.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^38078432 is an apocalyptic number.

38078432 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 38078432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47174400).

38078432 is an abundant number, since it is smaller than the sum of its proper divisors (56270368).

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

38078432 is a wasteful number, since it uses less digits than its factorization.

38078432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 38078432 is about 6170.7723989789. The cubic root of 38078432 is about 336.4286856330.

The spelling of 38078432 in words is "thirty-eight million, seventy-eight thousand, four hundred thirty-two".