39988800 has 126 divisors (see below), whose sum is σ = 142180818. Its totient is φ = 10659840.

The previous prime is 39988799. The next prime is 39988801. The reversal of 39988800 is 888993.

It is an interprime number because it is at equal distance from previous prime (39988799) and next prime (39988801).

It can be written as a sum of positive squares in 3 ways, for example, as 147456 + 39841344 = 384^2 + 6312^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39988801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13012 + ... + 15788.

Almost surely, 2^39988800 is an apocalyptic number.

39988800 is a gapful number since it is divisible by the number (30) 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 39988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71090409).

39988800 is an abundant number, since it is smaller than the sum of its proper divisors (102192018).

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

39988800 is a wasteful number, since it uses less digits than its factorization.

39988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 39988800 is about 6323.6698206026. The cubic root of 39988800 is about 341.9632668047.

The spelling of 39988800 in words is "thirty-nine million, nine hundred eighty-eight thousand, eight hundred".