39478320 has 240 divisors, whose sum is σ = 158605920. Its totient is φ = 8999424.

The previous prime is 39478319. The next prime is 39478337. The reversal of 39478320 is 2387493.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105654 + ... + 106026.

It is an arithmetic number, because the mean of its divisors is an integer number (660858).

Almost surely, 2^39478320 is an apocalyptic number.

39478320 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 39478320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79302960).

39478320 is an abundant number, since it is smaller than the sum of its proper divisors (119127600).

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

39478320 is a wasteful number, since it uses less digits than its factorization.

39478320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 39478320 is about 6283.1775400668. The cubic root of 39478320 is about 340.5019115342.

The spelling of 39478320 in words is "thirty-nine million, four hundred seventy-eight thousand, three hundred twenty".