638025336 has 320 divisors, whose sum is σ = 2085652800. Its totient is φ = 180652032.

The previous prime is 638025331. The next prime is 638025371. The reversal of 638025336 is 633520836.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 638025336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638025331) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7168780 + ... + 7168868.

It is an arithmetic number, because the mean of its divisors is an integer number (6517665).

Almost surely, 2^638025336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638025336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042826400).

638025336 is an abundant number, since it is smaller than the sum of its proper divisors (1447627464).

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

638025336 is a wasteful number, since it uses less digits than its factorization.

638025336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 638025336 is about 25259.1634065739. The cubic root of 638025336 is about 860.8866536074.

The spelling of 638025336 in words is "six hundred thirty-eight million, twenty-five thousand, three hundred thirty-six".