32438016 has 216 divisors, whose sum is σ = 109026960. Its totient is φ = 9455616.

The previous prime is 32437987. The next prime is 32438033. The reversal of 32438016 is 61083423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1707255 + ... + 1707273.

Almost surely, 2^32438016 is an apocalyptic number.

32438016 is a gapful number since it is divisible by the number (36) 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 32438016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54513480).

32438016 is an abundant number, since it is smaller than the sum of its proper divisors (76588944).

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

32438016 is a wasteful number, since it uses less digits than its factorization.

32438016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 32438016 is about 5695.4381745393. The cubic root of 32438016 is about 318.9222072929.

The spelling of 32438016 in words is "thirty-two million, four hundred thirty-eight thousand, sixteen".