39484320 has 96 divisors (see below), whose sum is σ = 127334592. Its totient is φ = 10278912.

The previous prime is 39484267. The next prime is 39484331. The reversal of 39484320 is 2348493.

39484320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19684 + ... + 21596.

It is an arithmetic number, because the mean of its divisors is an integer number (1326402).

Almost surely, 2^39484320 is an apocalyptic number.

39484320 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 39484320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63667296).

39484320 is an abundant number, since it is smaller than the sum of its proper divisors (87850272).

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

39484320 is a wasteful number, since it uses less digits than its factorization.

39484320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 39484320 is about 6283.6549873461. The cubic root of 39484320 is about 340.5191607314.

The spelling of 39484320 in words is "thirty-nine million, four hundred eighty-four thousand, three hundred twenty".