39078480 has 120 divisors (see below), whose sum is σ = 140964192. Its totient is φ = 8929536.

The previous prime is 39078469. The next prime is 39078493. The reversal of 39078480 is 8487093.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×39078480² = 3054255198220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10099 + ... + 13421.

Almost surely, 2^39078480 is an apocalyptic number.

39078480 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 39078480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70482096).

39078480 is an abundant number, since it is smaller than the sum of its proper divisors (101885712).

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

39078480 is a wasteful number, since it uses less digits than its factorization.

39078480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 39078480 is about 6251.2782692822. The cubic root of 39078480 is about 339.3484639196.

The spelling of 39078480 in words is "thirty-nine million, seventy-eight thousand, four hundred eighty".