1639938432 has 128 divisors (see below), whose sum is σ = 4776145920. Its totient is φ = 494438400.

The previous prime is 1639938403. The next prime is 1639938451. The reversal of 1639938432 is 2348399361.

It is a happy number.

1639938432 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 941082 + ... + 942822.

It is an arithmetic number, because the mean of its divisors is an integer number (37313640).

Almost surely, 2^1639938432 is an apocalyptic number.

1639938432 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 1639938432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388072960).

1639938432 is an abundant number, since it is smaller than the sum of its proper divisors (3136207488).

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

1639938432 is a wasteful number, since it uses less digits than its factorization.

1639938432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1980 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The square root of 1639938432 is about 40496.1532988011. The cubic root of 1639938432 is about 1179.2589505891.

The spelling of 1639938432 in words is "one billion, six hundred thirty-nine million, nine hundred thirty-eight thousand, four hundred thirty-two".