638350752 has 96 divisors (see below), whose sum is σ = 1899616320. Its totient is φ = 186071040.

The previous prime is 638350721. The next prime is 638350753. The reversal of 638350752 is 257053836.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 638350752.

It is not an unprimeable number, because it can be changed into a prime (638350753) 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, 10252 + ... + 37172.

It is an arithmetic number, because the mean of its divisors is an integer number (19787670).

Almost surely, 2^638350752 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 638350752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949808160).

638350752 is an abundant number, since it is smaller than the sum of its proper divisors (1261265568).

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

638350752 is a wasteful number, since it uses less digits than its factorization.

638350752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26966 (or 26958 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 638350752 is about 25265.6041289339. The cubic root of 638350752 is about 861.0329898424.

The spelling of 638350752 in words is "six hundred thirty-eight million, three hundred fifty thousand, seven hundred fifty-two".