39485160 has 288 divisors, whose sum is σ = 154159200. Its totient is φ = 8686080.

The previous prime is 39485143. The next prime is 39485191. The reversal of 39485160 is 6158493.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 669211 + ... + 669269.

It is an arithmetic number, because the mean of its divisors is an integer number (535275).

Almost surely, 2^39485160 is an apocalyptic number.

39485160 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 39485160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77079600).

39485160 is an abundant number, since it is smaller than the sum of its proper divisors (114674040).

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

39485160 is a wasteful number, since it uses less digits than its factorization.

39485160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 39485160 is about 6283.7218270703. The cubic root of 39485160 is about 340.5215754796.

The spelling of 39485160 in words is "thirty-nine million, four hundred eighty-five thousand, one hundred sixty".