638352 has 120 divisors (see below), whose sum is σ = 2166528. Its totient is φ = 172800.

The previous prime is 638347. The next prime is 638359. The reversal of 638352 is 253836.

638352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (4320) is a multiple of the sum of its prime divisors (60).

It is not an unprimeable number, because it can be changed into a prime (638359) by changing a digit.

638352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20577 + ... + 20607.

2⁶³⁸³⁵² is an apocalyptic number.

638352 is a gapful number since it is divisible by the number (62) 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 638352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083264).

638352 is an abundant number, since it is smaller than the sum of its proper divisors (1528176).

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

638352 is a wasteful number, since it uses less digits than its factorization.

638352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 60 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 638352 is about 798.9693360824. The cubic root of 638352 is about 86.1033550959.

It can be divided in two parts, 638 and 352, that added together give a triangular number (990 = T₄₄).

The spelling of 638352 in words is "six hundred thirty-eight thousand, three hundred fifty-two".