1638232752 has 160 divisors (see below), whose sum is σ = 4717698048. Its totient is φ = 486678528.

The previous prime is 1638232747. The next prime is 1638232769. The reversal of 1638232752 is 2572328361.

It is a super-4 number, since 4×1638232752⁴ (a number of 38 digits) contains 4444 as substring.

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 1638232752.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2433888 + ... + 2434560.

Almost surely, 2^1638232752 is an apocalyptic number.

1638232752 is a gapful number since it is divisible by the number (12) 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 1638232752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358849024).

1638232752 is an abundant number, since it is smaller than the sum of its proper divisors (3079465296).

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

1638232752 is a wasteful number, since it uses less digits than its factorization.

1638232752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 821 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 1638232752 is about 40475.0880419055. The cubic root of 1638232752 is about 1178.8499644694.

The spelling of 1638232752 in words is "one billion, six hundred thirty-eight million, two hundred thirty-two thousand, seven hundred fifty-two".