39012480 has 192 divisors, whose sum is σ = 145356120. Its totient is φ = 9584640.

The previous prime is 39012461. The next prime is 39012487. The reversal of 39012480 is 8421093.

It can be written as a sum of positive squares in 4 ways, for example, as 20142144 + 18870336 = 4488^2 + 4344^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39012487) 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, 74620 + ... + 75140.

Almost surely, 2^39012480 is an apocalyptic number.

39012480 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 39012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72678060).

39012480 is an abundant number, since it is smaller than the sum of its proper divisors (106343640).

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

39012480 is a wasteful number, since it uses less digits than its factorization.

39012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 39012480 is about 6245.9971181550. The cubic root of 39012480 is about 339.1573133657.

The spelling of 39012480 in words is "thirty-nine million, twelve thousand, four hundred eighty".