39988416 has 112 divisors (see below), whose sum is σ = 117291104. Its totient is φ = 11943936.

The previous prime is 39988397. The next prime is 39988427. The reversal of 39988416 is 61488993.

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, 92136 + ... + 92568.

It is an arithmetic number, because the mean of its divisors is an integer number (1047242).

Almost surely, 2^39988416 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 39988416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58645552).

39988416 is an abundant number, since it is smaller than the sum of its proper divisors (77302688).

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

39988416 is a wasteful number, since it uses less digits than its factorization.

39988416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 39988416 is about 6323.6394584132. The cubic root of 39988416 is about 341.9621722123.

It can be divided in two parts, 39988 and 416, that added together give a palindrome (40404).

The spelling of 39988416 in words is "thirty-nine million, nine hundred eighty-eight thousand, four hundred sixteen".