38460832 has 48 divisors (see below), whose sum is σ = 79011072. Its totient is φ = 18408960.

The previous prime is 38460787. The next prime is 38460833. The reversal of 38460832 is 23806483.

It is not an unprimeable number, because it can be changed into a prime (38460833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135763 + ... + 136045.

It is an arithmetic number, because the mean of its divisors is an integer number (1646064).

Almost surely, 2^38460832 is an apocalyptic number.

38460832 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 38460832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39505536).

38460832 is an abundant number, since it is smaller than the sum of its proper divisors (40550240).

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

38460832 is a wasteful number, since it uses less digits than its factorization.

38460832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 38460832 is about 6201.6797724488. The cubic root of 38460832 is about 337.5511238513.

It can be divided in two parts, 384 and 60832, that added together give a palindrome (61216).

The spelling of 38460832 in words is "thirty-eight million, four hundred sixty thousand, eight hundred thirty-two".