39084480 has 168 divisors, whose sum is σ = 138129264. Its totient is φ = 10137600.

The previous prime is 39084473. The next prime is 39084481. The reversal of 39084480 is 8448093.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39084481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117915 + ... + 118245.

It is an arithmetic number, because the mean of its divisors is an integer number (822198).

Almost surely, 2^39084480 is an apocalyptic number.

39084480 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 39084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69064632).

39084480 is an abundant number, since it is smaller than the sum of its proper divisors (99044784).

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

39084480 is a wasteful number, since it uses less digits than its factorization.

39084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 382 counting only the distinct ones).

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

The square root of 39084480 is about 6251.7581527119. The cubic root of 39084480 is about 339.3658305674.

The spelling of 39084480 in words is "thirty-nine million, eighty-four thousand, four hundred eighty".