39720480 has 96 divisors (see below), whose sum is σ = 126753984. Its totient is φ = 10454016.

The previous prime is 39720467. The next prime is 39720487. The reversal of 39720480 is 8402793.

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

It is not an unprimeable number, because it can be changed into a prime (39720487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39342 + ... + 40338.

It is an arithmetic number, because the mean of its divisors is an integer number (1320354).

Almost surely, 2^39720480 is an apocalyptic number.

39720480 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 39720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63376992).

39720480 is an abundant number, since it is smaller than the sum of its proper divisors (87033504).

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

39720480 is a wasteful number, since it uses less digits than its factorization.

39720480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 39720480 is about 6302.4185833694. The cubic root of 39720480 is about 341.1967057080.

The spelling of 39720480 in words is "thirty-nine million, seven hundred twenty thousand, four hundred eighty".