39445920 has 192 divisors, whose sum is σ = 144426240. Its totient is φ = 10036224.

The previous prime is 39445909. The next prime is 39445949. The reversal of 39445920 is 2954493.

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 31 ways as a sum of consecutive naturals, for example, 99162 + ... + 99558.

It is an arithmetic number, because the mean of its divisors is an integer number (752220).

Almost surely, 2^39445920 is an apocalyptic number.

39445920 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 39445920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72213120).

39445920 is an abundant number, since it is smaller than the sum of its proper divisors (104980320).

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

39445920 is a wasteful number, since it uses less digits than its factorization.

39445920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 39445920 is about 6280.5986975765. The cubic root of 39445920 is about 340.4087356562.

The spelling of 39445920 in words is "thirty-nine million, four hundred forty-five thousand, nine hundred twenty".