39255216 has 320 divisors, whose sum is σ = 146657280. Its totient is φ = 8709120.

The previous prime is 39255211. The next prime is 39255217. The reversal of 39255216 is 61255293.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (39255211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 912891 + ... + 912933.

It is an arithmetic number, because the mean of its divisors is an integer number (458304).

Almost surely, 2^39255216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39255216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73328640).

39255216 is an abundant number, since it is smaller than the sum of its proper divisors (107402064).

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

39255216 is a wasteful number, since it uses less digits than its factorization.

39255216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 39255216 is about 6265.3983113606. The cubic root of 39255216 is about 339.8592727871.

It can be divided in two parts, 39 and 255216, that added together give a triangular number (255255 = T₇₁₄).

The spelling of 39255216 in words is "thirty-nine million, two hundred fifty-five thousand, two hundred sixteen".