39840480 has 144 divisors (see below), whose sum is σ = 138181680. Its totient is φ = 10450944.

The previous prime is 39840467. The next prime is 39840529. The reversal of 39840480 is 8404893.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 104931 + ... + 105309.

It is an arithmetic number, because the mean of its divisors is an integer number (959595).

Almost surely, 2^39840480 is an apocalyptic number.

39840480 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 39840480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69090840).

39840480 is an abundant number, since it is smaller than the sum of its proper divisors (98341200).

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

39840480 is a wasteful number, since it uses less digits than its factorization.

39840480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 462 counting only the distinct ones).

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

The square root of 39840480 is about 6311.9315585643. The cubic root of 39840480 is about 341.5399580388.

The spelling of 39840480 in words is "thirty-nine million, eight hundred forty thousand, four hundred eighty".