39288240 has 240 divisors, whose sum is σ = 142990848. Its totient is φ = 10015488.

The previous prime is 39288239. The next prime is 39288247. The reversal of 39288240 is 4288293.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 39288195 and 39288204.

It is not an unprimeable number, because it can be changed into a prime (39288247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 835897 + ... + 835943.

It is a vampire number, since it can be written as 4230 ⋅ 9288 (with its own digits).

Almost surely, 2^39288240 is an apocalyptic number.

39288240 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 39288240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71495424).

39288240 is an abundant number, since it is smaller than the sum of its proper divisors (103702608).

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

39288240 is a wasteful number, since it uses less digits than its factorization.

39288240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 39288240 is about 6268.0331843410. The cubic root of 39288240 is about 339.9545498647.

The spelling of 39288240 in words is "thirty-nine million, two hundred eighty-eight thousand, two hundred forty".